I had an early version of Photoshop and when I was done creating a
picture, I could click on "print multiple on a page" and it would put
as many copies of my picture as would fit on a page.  Now I have
Photoshop elements, and that command seems to have disappeared.  There
is the "picture package" option, but my pictures always lose quality
when I use this, and it does not have the size I need (1 3/4 inches). 
What can I do to get my image duplicated?

I think that the only way you can do it without resorting to
additional third-party printing software is to customize your picture
package layout.

For details, access the Help function and go to Saving Images >
Creating multiple-image layouts > Customizing picture package layouts.