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Finding the Third Proportional to 687,781.13 and 1,618,320.09

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Solution

The third proportional to 687,781.13 and 1,618,320.09 is: 3,807,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,781.13 : 1,618,320.09 = 1,618,320.09 : x
  2. Step 2: Convert to fraction form
    687,781.13/1,618,320.09 = 1,618,320.09/x
  3. Step 3: Cross multiply
    687,781.13x = 1,618,320.09 × 1,618,320.09
  4. Step 4: Simplify right side
    687,781.13x = 2,618,959,925,835.01
  5. Step 5: Solve for x
    x = 2,618,959,925,835.01/687,781.13
  6. Step 6: Final answer
    x = 3,807,839.20

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.