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Finding the Third Proportional to 592,593 and 1,398,327

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Solution

The third proportional to 592,593 and 1,398,327 is: 3,299,597.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,593 : 1,398,327 = 1,398,327 : x
  2. Step 2: Convert to fraction form
    592,593/1,398,327 = 1,398,327/x
  3. Step 3: Cross multiply
    592,593x = 1,398,327 × 1,398,327
  4. Step 4: Simplify right side
    592,593x = 1,955,318,398,929
  5. Step 5: Solve for x
    x = 1,955,318,398,929/592,593
  6. Step 6: Final answer
    x = 3,299,597.53

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.