In a medium-large pot, slowly heat the milk and cream together until it reaches 185 F, stirring occasionally along the way. The best way to measure the temperature is to clip a candy or instant-read thermometer to the side of the pot when you first begin the process.
While the milk mixture is heating, line a colander with cheesecloth and sit it over a bowl. Set aside. Mix the lemon juice and vinegar in a small container.
Once the temperature reaches 185 F, remove the pot from the heat and immediately stir in the salt. Slowly drizzle the lemon juice and rice vinegar over the top. Stir gently with a silicon spoon or spatula until the curds begin to form.
Ladle the curds into the colander and roll any loose edges of cheesecloth over the top of the cheese. Allow to drain until it reaches the consistency you desire. This can take anywhere from 20 minutes to a few hours, depending upon how firm you like your ricotta. Store the cheese in an airtight container for up to two weeks in the refrigerator.