No you didn't. If the final image is to be 3000 by 3000 - 3000 what? What are you saying there? 3000 inches? If you want 3000 inches and you want 300 pixels per inch then you would use 900,000 by 900,000 pixels. This is, of course, nonsense.

Did you mean if the final image is to be 3 inches by 3 inches? Then the dimension you want is 3 inches times 300 pixels per inch = 900 pixels.

It's simple math and the programs will do it for you, but if you want to describe it, then describe it.

inches * PPI = pixels

PPI is pixels per inch and the word "per" means "divided by", so PPI means pixels / inch.

So:

3000 pixels / 10 inches = 300 pixels / inch = 300 PPI

And:

3 inches * 300 PPI = 900 pixels

4 inches * 300 PPI = 1200 pixels

5 inches * 300 PPI = 1500 pixels

6 inches * 200 PPI = 1200 pixels

8 inches * 150 PPI = 1200 pixels

10 inches * 120 PPI = 1200 pixels

And stop saying DPI when talking about PPI. Dots are not pixels. They are dots of ink.

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Renderosity forum reply notifications are wonky. If I read a follow-up in a thread, but I don't myself reply, then notifications no longer happen AT ALL on that thread. So if I seem to be ignoring a question, that's why. (Updated September 23, 2019)