While updating the Wiki came across the old Importing Saved Passwords article which was very much in need of an update. A little searching and found the Password Exporter extension which will allow you to import and/or export your Firefox passwords. You will need to have this extension installed on all copies of Firefox you are going to be working with.
Once installed go to Tools > Options > Security Tab and then click the Import/Export Passwords button.
Click either Export Passwords or Import Passwords. Warning: Selecting the Obfuscate Usernames/Passwords option will make the raw export file unreadable to humans, however the passwords can still be viewed once the file is imported into Firefox. When clicking export a dialog box will pop-up asking you to select a location to save the export file. Be sure to make note of this location as you will need it when you go to import the passwords. Note: If a password entry already exists for a given website when importing, that entry will not be imported.