Preparing printing sizes with best resolutions

cocoshots

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Hi, I am new to this forum and I need some assistance concerning the preparation of my photographs for printing at different sizes and at the best resolutions possible:). I have a Canon DSLR 60D, 18MP, 3:2 ratios.
I shoot at the highest capacity.

The problem I encountered is when I change the document size without resampling, the resolution can be way over 300dpi .

Example: My original size of Document is 72"x48" at 72dpi
I change it to a 6"x4" and the dpi becomes 864.

I am not sure if a high dpi, over 300 is good for the printing result! And if not what can I do to have a dpi around 300 without losing quality of the picture.

Thank you very much for your help:)
 
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