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Finding the Third Proportional to 394,403,422 and 615,481,586

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Solution

The third proportional to 394,403,422 and 615,481,586 is: 960,482,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,403,422 : 615,481,586 = 615,481,586 : x
  2. Step 2: Convert to fraction form
    394,403,422/615,481,586 = 615,481,586/x
  3. Step 3: Cross multiply
    394,403,422x = 615,481,586 × 615,481,586
  4. Step 4: Simplify right side
    394,403,422x = 378,817,582,705,075,392
  5. Step 5: Solve for x
    x = 378,817,582,705,075,392/394,403,422
  6. Step 6: Final answer
    x = 960,482,494.76

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.