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Finding the Third Proportional to 631,098 and 1,377,864

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Solution

The third proportional to 631,098 and 1,377,864 is: 3,008,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,098 : 1,377,864 = 1,377,864 : x
  2. Step 2: Convert to fraction form
    631,098/1,377,864 = 1,377,864/x
  3. Step 3: Cross multiply
    631,098x = 1,377,864 × 1,377,864
  4. Step 4: Simplify right side
    631,098x = 1,898,509,202,496
  5. Step 5: Solve for x
    x = 1,898,509,202,496/631,098
  6. Step 6: Final answer
    x = 3,008,263.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.