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Finding the Third Proportional to 861,169.50 and 1,232,691.75

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Solution

The third proportional to 861,169.50 and 1,232,691.75 is: 1,764,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,169.50 : 1,232,691.75 = 1,232,691.75 : x
  2. Step 2: Convert to fraction form
    861,169.50/1,232,691.75 = 1,232,691.75/x
  3. Step 3: Cross multiply
    861,169.50x = 1,232,691.75 × 1,232,691.75
  4. Step 4: Simplify right side
    861,169.50x = 1,519,528,950,518.06
  5. Step 5: Solve for x
    x = 1,519,528,950,518.06/861,169.50
  6. Step 6: Final answer
    x = 1,764,494.62

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.