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Finding the Third Proportional to 2,182,869.75 and 4,591,962.75

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Solution

The third proportional to 2,182,869.75 and 4,591,962.75 is: 9,659,816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,869.75 : 4,591,962.75 = 4,591,962.75 : x
  2. Step 2: Convert to fraction form
    2,182,869.75/4,591,962.75 = 4,591,962.75/x
  3. Step 3: Cross multiply
    2,182,869.75x = 4,591,962.75 × 4,591,962.75
  4. Step 4: Simplify right side
    2,182,869.75x = 21,086,121,897,387.56
  5. Step 5: Solve for x
    x = 21,086,121,897,387.56/2,182,869.75
  6. Step 6: Final answer
    x = 9,659,816.81

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.