Coordinates conversion from X,Y to Lat,Long

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I'm coding an android app based on an webservice which is already built and running (not mine, it's a public one). My problem is that it is return really weird coordinates to every spot. Example: The webserver is returning this coordinates from this spot (São Luiz - Teatro Municipal , which is a portuguese theatre):

X: -1017715.4315
Y: 4680103.68

And according to google maps, the coordinates should be this:

Lat: 38.708935
Long: -9.142481

I think it's another coordinates format, but i'd really appreciate if some one could tell me how can I convert it to the "normal" format, so I can input it to Google maps in android.

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