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Finding the Third Proportional to 539,893.50 and 1,181,472

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Solution

The third proportional to 539,893.50 and 1,181,472 is: 2,585,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,893.50 : 1,181,472 = 1,181,472 : x
  2. Step 2: Convert to fraction form
    539,893.50/1,181,472 = 1,181,472/x
  3. Step 3: Cross multiply
    539,893.50x = 1,181,472 × 1,181,472
  4. Step 4: Simplify right side
    539,893.50x = 1,395,876,086,784
  5. Step 5: Solve for x
    x = 1,395,876,086,784/539,893.50
  6. Step 6: Final answer
    x = 2,585,465.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.