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Finding the Third Proportional to 591,127.88 and 914,371.03

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Solution

The third proportional to 591,127.88 and 914,371.03 is: 1,414,371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,127.88 : 914,371.03 = 914,371.03 : x
  2. Step 2: Convert to fraction form
    591,127.88/914,371.03 = 914,371.03/x
  3. Step 3: Cross multiply
    591,127.88x = 914,371.03 × 914,371.03
  4. Step 4: Simplify right side
    591,127.88x = 836,074,382,789.19
  5. Step 5: Solve for x
    x = 836,074,382,789.19/591,127.88
  6. Step 6: Final answer
    x = 1,414,371.44

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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.