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Finding the Third Proportional to 394,174 and 864,649

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Solution

The third proportional to 394,174 and 864,649 is: 1,896,669.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,174 : 864,649 = 864,649 : x
  2. Step 2: Convert to fraction form
    394,174/864,649 = 864,649/x
  3. Step 3: Cross multiply
    394,174x = 864,649 × 864,649
  4. Step 4: Simplify right side
    394,174x = 747,617,893,201
  5. Step 5: Solve for x
    x = 747,617,893,201/394,174
  6. Step 6: Final answer
    x = 1,896,669.73

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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.