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The solution is to use fixed-point, aka integers. No, really it is. I have a blog post about this: http://tomforsyth1000.github.io/blog.wiki.html#%5B%5BA%20matter%20of%20precision%5D%5D …
So I've been down this road before, but I get into trouble whenever I need to do something like magnitude of a vector. The intermediate values before the square root get so high I see truncation. Is there a good solution for that?
Why are you taking the size of a vector that points to an object from the origin? Why is that a useful thing? You usually want the vector from e.g. camera to object - feel free to do those in floating point. Because more precision near the camera is totally a useful thing.
The only time the size of vector from origin is used (that I know of) is BSPs. They have precision problems whatever units you do them in, and having that precision wobble is doubly evil.
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