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Finding the Third Proportional to 728,655.75 and 1,103,149.13

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Solution

The third proportional to 728,655.75 and 1,103,149.13 is: 1,670,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,655.75 : 1,103,149.13 = 1,103,149.13 : x
  2. Step 2: Convert to fraction form
    728,655.75/1,103,149.13 = 1,103,149.13/x
  3. Step 3: Cross multiply
    728,655.75x = 1,103,149.13 × 1,103,149.13
  4. Step 4: Simplify right side
    728,655.75x = 1,216,937,991,988.27
  5. Step 5: Solve for x
    x = 1,216,937,991,988.27/728,655.75
  6. Step 6: Final answer
    x = 1,670,113.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.