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Finding the Third Proportional to 382,458 and 840,414

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Solution

The third proportional to 382,458 and 840,414 is: 1,846,727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,458 : 840,414 = 840,414 : x
  2. Step 2: Convert to fraction form
    382,458/840,414 = 840,414/x
  3. Step 3: Cross multiply
    382,458x = 840,414 × 840,414
  4. Step 4: Simplify right side
    382,458x = 706,295,691,396
  5. Step 5: Solve for x
    x = 706,295,691,396/382,458
  6. Step 6: Final answer
    x = 1,846,727.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.