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Finding the Third Proportional to 378,870 and 829,092

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Solution

The third proportional to 378,870 and 829,092 is: 1,814,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,870 : 829,092 = 829,092 : x
  2. Step 2: Convert to fraction form
    378,870/829,092 = 829,092/x
  3. Step 3: Cross multiply
    378,870x = 829,092 × 829,092
  4. Step 4: Simplify right side
    378,870x = 687,393,544,464
  5. Step 5: Solve for x
    x = 687,393,544,464/378,870
  6. Step 6: Final answer
    x = 1,814,325.61

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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.