How are the forces between charges similar to the forces between magnetic poles?

As we know that the force between two charges and force between two poles are similar in may ways. These are given as following

1). Similar poles and similar charge always repel each other while opposite charge and opposite poles will attract each other

2). force between two charges is given by

force between two poles of magnet is given as

3). Both the force equation follows inverse square law which means force inversely depends on the square of the distance between two charges and two poles

4). Both forces depends on the product of two charges or product of two pole strength of magnet

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