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Finding the Third Proportional to 690,098 and 1,508,134

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Solution

The third proportional to 690,098 and 1,508,134 is: 3,295,862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,098 : 1,508,134 = 1,508,134 : x
  2. Step 2: Convert to fraction form
    690,098/1,508,134 = 1,508,134/x
  3. Step 3: Cross multiply
    690,098x = 1,508,134 × 1,508,134
  4. Step 4: Simplify right side
    690,098x = 2,274,468,161,956
  5. Step 5: Solve for x
    x = 2,274,468,161,956/690,098
  6. Step 6: Final answer
    x = 3,295,862.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.