I tried changing the shapefiles by projecting them by only using the Project tool and I made sure that the data frame properties were set to the correct projection.  I see the properties of the shapefile and the data frame properties say that they are all set to Albers Equal Area Conic but when they are displayed in a map it doesn't look like it.  Here is the image that I see.

[![enter image description here][1]][1]


  [1]: https://i.sstatic.net/8OGug.jpg

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Here is what one of my three source tabs looks like.  They all have the same projected coordinate system and even the same geographic coordinate system.[![enter image description here][1]][1]


  [1]: https://i.sstatic.net/EnT45.jpg