Calculating max image size for PNG inside an app?

This should be simple, considering that Apple has published a formula for the max image size that an iPad will display. Here are the details ...
I'm creating a "zoomable" image for use in an app. The PNG is fed into the app via an iframe. It's zoomable because the dimensions stated in the HTML are smaller than the real image dimensions. The person looking at the app uses the "finger spread" method to make the image expand. Sounds odd, but it works. Base image resolution is 264px for retina displays.
Yesterday I tried an image that was 2768 x 4221 pixels and the app simply refused to display it. When I changed it to 1000 x 1525 it displayed fine. Problem is, that should not have worked. Apple says the max pixels for an image on iPad cannot be more than "width x height = 3 x 1024 x 1024"  That base formula works out to 3,145,728 pixels. Using Apple's math, my image that displays fine has a total size of 4,575,000.
So I'm confused about how to calculate the correct max image size. Apple's formula looks pretty simple but I apparently broke their rule and got away with it. Help?

Arggg.-
The multiplier "3" is only applied on the "1024 x 1024" side, not also on the side where the developer's image width and height are multiplied.
Arggg Argg ...

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