Why do images have a ppi value?

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When a file describes an image it should work somewhat like this: color value of the pixel in the upper left corner = whatever. next: the color of the second pixel = whatever. and so on. so that in the end I have a description of say 1000x1000 pixels. now how can this image description have a ppi value? if I have a screen that has 1000x1000 pixels and is 22" in size, the dpi will be different from a screen with 1000x1000 pixels and 24". so the dpi depends on the screen that I use to view the image, it's not a property of the image. but images do have a ppi value, I just don't understand the logic behind that?

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