Yes and that's the movie magic part.
They melted the dagger as one pool of 'molten metal', and ended up with 3 ingots of two silver one gold. The Mithril wasn't parted into 3, it was tossed into the single batch of molten metal, and it doesn't make sense that somehow that gets parted into Silver and Gold ingots at all.
I get they wanted to portray it this way because it's more 'symbolic' to Galadriel if she's looking at the molten dagger as a whole and watching the mithril be added to it. But if you know anything about metallurgy, this isn't the way ingots are produced. And I'm not interested in some bogus 'Elven magic' explanation like 'That mold they pour the molten metal into separates the gold and silver parts for you'
Rings of Power has some great visuals, and there's plenty I'm willing to overlook. But when it's something as obvious as one single pool of metal creating distinctly separate Gold and Silver ingots from a single dagger being melted down, yeah I don't buy that at all.
Also, this project was centered around Gil-Galad, Elrond and Celebrimbor. Galadriel's involvement ended up being shoehorned into it with her dagger being the 'key' to creating the Rings for seemingly no good reason. It's not like the original lore mandated that the Rings needed Valinor Gold and Silver to be created in the first place. That explanation is literally invented to make her dagger seem all the more important for this very scene. That's it.
I don't really see this as being something that fits full circle and giving the 3 Rings more of a connection to Galadriel because it's forged from her brother's dagger, I think it's all too convenient an explanation, much like how Mithril itself is becoming the magical cure for the corruption that threatens the Elves. It's an explanation that works for this adaptation, sure, but it's not one that I think is necessary to tell the story of the forging of the Rings of Power. Like, the Rings themselves are powerful enough on their own (in the original lore) without Mithril being the key reason they are so prized. Mithril being this important would imply that the mithril chainmail would be just as important as the 3 Elven Rings to the Elves. Mithril should just be a very sturdy, durable and light-weight metal. The entire starlight and corruption-saving property really messes with some of the logic already applied in LOTR. And yes, beyond 'See, the Rings are more special because they mixed in gold and silver from Valinor!!', yeah, that still wouldn't cover the fact that Frodo has a mithril chainmail that would be all-too-important to the Elves based on RoP's explanation.