Arithmetic on today's supply, not a forecast. It assumes nothing about whether Pump.fun could attract that much money.
A coin's market capitalisation is its price multiplied by the number of coins in circulation. Pump.fun has 420,944,690,834 PUMP in circulation at $0.003782 each, which is $1.59B. Holding that supply still and putting PAX Gold's $1.89B in its place gives $0.00448032 per PUMP.
The two are close in size, so the answer is a 1.18x move. Pump.fun and PAX Gold are within a factor of two of each other by market capitalisation.
Supply is held still, and in practice it moves: coins are minted, burned and unlocked, and every one of those changes the price a given market capitalisation implies. The figure also says nothing about whether the money exists to buy PUMP at that level, which is the part that actually decides a price.
$0.00448032 per PUMP. That is PAX Gold's current market capitalisation of $1.89B divided across the 420,944,690,834 PUMP in circulation.
1.18x. Pump.fun trades at $0.003782 today and PAX Gold's market cap is $1.89B against Pump.fun's $1.59B.
No. It is one division: PAX Gold's market capitalisation spread over the supply of PUMP that exists today. It assumes nothing about whether Pump.fun could attract that much money, and it holds the supply still when in practice supply changes.
It sets it. Market cap is price times circulating supply, so the same $1.89B of market cap spread over more coins gives a lower price per coin. This uses the 420,944,690,834 PUMP in circulation now.