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Finding the Third Proportional to 394,674 and 838,596

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Solution

The third proportional to 394,674 and 838,596 is: 1,781,833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,674 : 838,596 = 838,596 : x
  2. Step 2: Convert to fraction form
    394,674/838,596 = 838,596/x
  3. Step 3: Cross multiply
    394,674x = 838,596 × 838,596
  4. Step 4: Simplify right side
    394,674x = 703,243,251,216
  5. Step 5: Solve for x
    x = 703,243,251,216/394,674
  6. Step 6: Final answer
    x = 1,781,833.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.