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Finding the Third Proportional to 1,013,773.50 and 1,417,320

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Solution

The third proportional to 1,013,773.50 and 1,417,320 is: 1,981,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,773.50 : 1,417,320 = 1,417,320 : x
  2. Step 2: Convert to fraction form
    1,013,773.50/1,417,320 = 1,417,320/x
  3. Step 3: Cross multiply
    1,013,773.50x = 1,417,320 × 1,417,320
  4. Step 4: Simplify right side
    1,013,773.50x = 2,008,795,982,400
  5. Step 5: Solve for x
    x = 2,008,795,982,400/1,013,773.50
  6. Step 6: Final answer
    x = 1,981,503.74

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.