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Finding the Third Proportional to 392,674 and 854,870

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Solution

The third proportional to 392,674 and 854,870 is: 1,861,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,674 : 854,870 = 854,870 : x
  2. Step 2: Convert to fraction form
    392,674/854,870 = 854,870/x
  3. Step 3: Cross multiply
    392,674x = 854,870 × 854,870
  4. Step 4: Simplify right side
    392,674x = 730,802,716,900
  5. Step 5: Solve for x
    x = 730,802,716,900/392,674
  6. Step 6: Final answer
    x = 1,861,092.71

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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.