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Finding the Third Proportional to 460,185,648 and 621,942,984

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Solution

The third proportional to 460,185,648 and 621,942,984 is: 840,558,754.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,185,648 : 621,942,984 = 621,942,984 : x
  2. Step 2: Convert to fraction form
    460,185,648/621,942,984 = 621,942,984/x
  3. Step 3: Cross multiply
    460,185,648x = 621,942,984 × 621,942,984
  4. Step 4: Simplify right side
    460,185,648x = 386,813,075,346,824,256
  5. Step 5: Solve for x
    x = 386,813,075,346,824,256/460,185,648
  6. Step 6: Final answer
    x = 840,558,754.99

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.