Combine cooked egg yolks and raw egg yolk; beat on medium speed of an electric mixer until smooth. Add mustard, beating well.
Add 1/4 cup oil (1 drop at a time) to yolk mixture, beating constantly at medium speed. Add lemon juice, vinegar, and salt; beat well. Add remaining oil, 1 tablespoon at a time, making sure oil is thoroughly combined with egg yolk mixture before adding another tablespoon. Scrape bowl frequently.
Spoon Mayonnaise Dressing into a jar with tight-fitting lid; store in refrigerator. Garnish with paprika when serving.