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Finding the Third Proportional to 394,386 and 863,406

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Solution

The third proportional to 394,386 and 863,406 is: 1,890,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,386 : 863,406 = 863,406 : x
  2. Step 2: Convert to fraction form
    394,386/863,406 = 863,406/x
  3. Step 3: Cross multiply
    394,386x = 863,406 × 863,406
  4. Step 4: Simplify right side
    394,386x = 745,469,920,836
  5. Step 5: Solve for x
    x = 745,469,920,836/394,386
  6. Step 6: Final answer
    x = 1,890,203.81

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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.