How did Ducal Prussia become united with Brandenburg in 1618?

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The union of Ducal Prussia with the electorate of Brandenburg in 1618 occurred through dynastic inheritance following the death of Albert Frederick, the duke of Prussia, who died without a male heir.1

The connection was established through the marriage of John Sigismund, the elector of Brandenburg, to Anna, the daughter of Albert Frederick. Because Albert Frederick left no son, the duchy passed to John Sigismund in his capacity as the husband of the duke's eldest daughter. This succession was further solidified by earlier arrangements, including a 1569 agreement between the Hohenzollern elector and the duke of Prussia that had secured the Brandenburg dynasty's right to the succession should the duke's family line become extinct.123

This union was a pivotal development in the rise of the Hohenzollern monarchy, eventually providing the territorial foundation for the later Kingdom of Prussia.1