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Finding the Third Proportional to 909,489.75 and 1,515,724.13

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Solution

The third proportional to 909,489.75 and 1,515,724.13 is: 2,526,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,489.75 : 1,515,724.13 = 1,515,724.13 : x
  2. Step 2: Convert to fraction form
    909,489.75/1,515,724.13 = 1,515,724.13/x
  3. Step 3: Cross multiply
    909,489.75x = 1,515,724.13 × 1,515,724.13
  4. Step 4: Simplify right side
    909,489.75x = 2,297,419,623,107.02
  5. Step 5: Solve for x
    x = 2,297,419,623,107.02/909,489.75
  6. Step 6: Final answer
    x = 2,526,053.34

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.