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Finding the Third Proportional to 394,182 and 847,413

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Solution

The third proportional to 394,182 and 847,413 is: 1,821,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,182 : 847,413 = 847,413 : x
  2. Step 2: Convert to fraction form
    394,182/847,413 = 847,413/x
  3. Step 3: Cross multiply
    394,182x = 847,413 × 847,413
  4. Step 4: Simplify right side
    394,182x = 718,108,792,569
  5. Step 5: Solve for x
    x = 718,108,792,569/394,182
  6. Step 6: Final answer
    x = 1,821,769.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.