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Finding the Third Proportional to 1,253,572 and 1,909,750

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Solution

The third proportional to 1,253,572 and 1,909,750 is: 2,909,402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,572 : 1,909,750 = 1,909,750 : x
  2. Step 2: Convert to fraction form
    1,253,572/1,909,750 = 1,909,750/x
  3. Step 3: Cross multiply
    1,253,572x = 1,909,750 × 1,909,750
  4. Step 4: Simplify right side
    1,253,572x = 3,647,145,062,500
  5. Step 5: Solve for x
    x = 3,647,145,062,500/1,253,572
  6. Step 6: Final answer
    x = 2,909,402.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.