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Finding the Third Proportional to 731,917 and 1,108,081.50

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Solution

The third proportional to 731,917 and 1,108,081.50 is: 1,677,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,917 : 1,108,081.50 = 1,108,081.50 : x
  2. Step 2: Convert to fraction form
    731,917/1,108,081.50 = 1,108,081.50/x
  3. Step 3: Cross multiply
    731,917x = 1,108,081.50 × 1,108,081.50
  4. Step 4: Simplify right side
    731,917x = 1,227,844,610,642.25
  5. Step 5: Solve for x
    x = 1,227,844,610,642.25/731,917
  6. Step 6: Final answer
    x = 1,677,573.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.