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Finding the Third Proportional to 766,750 and 1,160,870

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Solution

The third proportional to 766,750 and 1,160,870 is: 1,757,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,750 : 1,160,870 = 1,160,870 : x
  2. Step 2: Convert to fraction form
    766,750/1,160,870 = 1,160,870/x
  3. Step 3: Cross multiply
    766,750x = 1,160,870 × 1,160,870
  4. Step 4: Simplify right side
    766,750x = 1,347,619,156,900
  5. Step 5: Solve for x
    x = 1,347,619,156,900/766,750
  6. Step 6: Final answer
    x = 1,757,573.08

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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.