Need to know how many US cities have a populations between 1 million
and 2 million people.

Dear gallivan-ga,
There are six cities which have populations between 1 million
and 2 million people according to official census figures for 2000.
Houston city, TX                             1,953,631        
Philadelphia city, PA                        1,517,550        
Phoenix city, AZ                             1,321,045        
San Diego city, CA                           1,223,400        
Dallas city, TX                              1,188,580        
San Antonio city, TX                         1,144,646        

The 2002 July population estimate, however, takes Houston City to
2,009,834; so that means five cities - depending on your requirement
for accuracy.

Source
http://eire.census.gov/popest/data/cities/tables/SUB-EST2002-01.php

I hope this answers your question. If it does not, or the answer is
unclear, then please ask for clarification of this research before
rating the answer. I shall respond to the clarification request as
soon as I receive it.
Thank you
answerfinder

Search Strategy
Knew of the source US Census Bureau

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Request for Answer Clarification by gallivan-ga on 14 Apr 2004 14:11 PDT

We will need more cities than the six you sent me.  We are going to
extend our search base to make it 750,000 to 2 1/2 million in
population.

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Clarification of Answer by answerfinder-ga on 16 Apr 2004 02:06 PDT

Dear gallivan-ga,
Your clarification request is, in fact, a new question which would
require posting separately. In any event, if you access the link that
I posted above, you will see the information you require.
answerfinder-ga