How did Madhavrao Deshpande and Kakasaheb Dixit, who had never met, end up traveling to Shirdi together?

Their meeting was a series of fortunate events. As described in Chapter 51, Kakasaheb Dixit was at Mirikar's house, very eager to go to Shirdi. Meanwhile, Nanasahib Panshe and Appasahib Gadre spotted Madhavrao Deshpande at Chitali station. Recognizing him as 'the priest of Shirdi,' they sent him to Mirikar's house to meet Dixit. Balasaheb Mirikar formally introduced them, and this being their first meeting, they quickly made a plan to travel together that very night on the ten o'clock train to Shirdi, a development that brought Dixit great satisfaction.