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Finding the Third Proportional to 701,740.13 and 1,086,145.88

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Solution

The third proportional to 701,740.13 and 1,086,145.88 is: 1,681,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,740.13 : 1,086,145.88 = 1,086,145.88 : x
  2. Step 2: Convert to fraction form
    701,740.13/1,086,145.88 = 1,086,145.88/x
  3. Step 3: Cross multiply
    701,740.13x = 1,086,145.88 × 1,086,145.88
  4. Step 4: Simplify right side
    701,740.13x = 1,179,712,861,779.52
  5. Step 5: Solve for x
    x = 1,179,712,861,779.52/701,740.13
  6. Step 6: Final answer
    x = 1,681,124.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.