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Finding the Third Proportional to 840,229.25 and 1,291,493

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Solution

The third proportional to 840,229.25 and 1,291,493 is: 1,985,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,229.25 : 1,291,493 = 1,291,493 : x
  2. Step 2: Convert to fraction form
    840,229.25/1,291,493 = 1,291,493/x
  3. Step 3: Cross multiply
    840,229.25x = 1,291,493 × 1,291,493
  4. Step 4: Simplify right side
    840,229.25x = 1,667,954,169,049
  5. Step 5: Solve for x
    x = 1,667,954,169,049/840,229.25
  6. Step 6: Final answer
    x = 1,985,117.95

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.