Well given the easting and northing values of the 2nd image, I think it is within the correct latitudinal range. The only thing to resolve now is what projected coordinate system would give rise to those values, hence my guess of some UTM or transverse Mercator based projection since 45 degrees is 1/2 way between the equator and the pole and the original definition of the metre was 1/10,000,000 of the distance between the equator and the pole... ergo, 5,000,000 metres-ish would be an appropriate northing. As for the easting, you should be able to figure what UTM zone you are in and whether your longitude falls to the east or west of the central meridian for the utm zone that covers the latitude and longitude range.
Of course this doesn't rule out any other projections that you might encounter in your studies that are unique or widely used in your area. Trial and error and/or comparison to a known dataset are your only options to narrow down appropriate candidates.