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Q:  

If I have a list of 1,000 latitude and longitude points can I get a report out of ArcGIS with the census tract associated with this point?

A:  

Yes, that is possible with ArcGIS.

The lat/long table will need to be added to ArcMap, converted to a points shapefile, projected, then spatially joined to the census tracts shapefile. This will output a list with the census tract for each lat/long point.

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