At that point, I clicked “Enabled” under Public IP Address Settings and then Create New:
I gave it a name, clicked OK, and then clicked OK:
With that, I was able to RDP into my newly migrated VM.
When I migrated the Amazon AWS EC2 instance to Microsoft Azure, the IP address of the server changed. This happened because all VMs in Azure are handed an IP via DHCP. Although they get their addresses via DHCP, Azure VMs do hold onto their IP addresses for the life of the VM – so it’s much like a DHCP reservation. Keep this in mind when migrating your own instances to Azure because if there are apps that reference the IP address instead of the DNS name of your server, they will not function until you point them at the new IP address.