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Finding the Third Proportional to 750,966 and 1,162,098

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Solution

The third proportional to 750,966 and 1,162,098 is: 1,798,312.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,966 : 1,162,098 = 1,162,098 : x
  2. Step 2: Convert to fraction form
    750,966/1,162,098 = 1,162,098/x
  3. Step 3: Cross multiply
    750,966x = 1,162,098 × 1,162,098
  4. Step 4: Simplify right side
    750,966x = 1,350,471,761,604
  5. Step 5: Solve for x
    x = 1,350,471,761,604/750,966
  6. Step 6: Final answer
    x = 1,798,312.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.