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Finding the Third Proportional to 394,120 and 864,484

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Solution

The third proportional to 394,120 and 864,484 is: 1,896,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,120 : 864,484 = 864,484 : x
  2. Step 2: Convert to fraction form
    394,120/864,484 = 864,484/x
  3. Step 3: Cross multiply
    394,120x = 864,484 × 864,484
  4. Step 4: Simplify right side
    394,120x = 747,332,586,256
  5. Step 5: Solve for x
    x = 747,332,586,256/394,120
  6. Step 6: Final answer
    x = 1,896,205.69

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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.