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Finding the Third Proportional to 461,115.28 and 991,121.06

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Solution

The third proportional to 461,115.28 and 991,121.06 is: 2,130,315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,115.28 : 991,121.06 = 991,121.06 : x
  2. Step 2: Convert to fraction form
    461,115.28/991,121.06 = 991,121.06/x
  3. Step 3: Cross multiply
    461,115.28x = 991,121.06 × 991,121.06
  4. Step 4: Simplify right side
    461,115.28x = 982,320,960,531.13
  5. Step 5: Solve for x
    x = 982,320,960,531.13/461,115.28
  6. Step 6: Final answer
    x = 2,130,315.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.