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Finding the Third Proportional to 394,726 and 868,184

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Solution

The third proportional to 394,726 and 868,184 is: 1,909,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,726 : 868,184 = 868,184 : x
  2. Step 2: Convert to fraction form
    394,726/868,184 = 868,184/x
  3. Step 3: Cross multiply
    394,726x = 868,184 × 868,184
  4. Step 4: Simplify right side
    394,726x = 753,743,457,856
  5. Step 5: Solve for x
    x = 753,743,457,856/394,726
  6. Step 6: Final answer
    x = 1,909,535.88

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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.