While it's unclear what is being meant by the term "particles", if we assume it refers to formula units (molecules), we have a simple stoichiometry problem. The 1st step in any stoic problem is to write a balanced equation, which would be as follows:
Fe3(PO4)2 + 2 Al(NO3)2 → 3 Fe(NO3)2 + 2 AlPO4
Next, since we're trying to determine the NUMBER of 'particles' we will use Avogaro's Number for our starting ratio:
(6.022 x 1023 particles Fe(NO3)2/1 mol Fe(NO3)2) (3 mol Fe(NO3)2/2 mol Al(NO3)3) (1 mol Al(NO3)2/26.98 g Al(NO3)3) 24690g Al(NO3)3 = 8.266 x 1023 particles of iron (II) nitrate