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Finding the Third Proportional to 394,132 and 866,996

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Solution

The third proportional to 394,132 and 866,996 is: 1,907,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,132 : 866,996 = 866,996 : x
  2. Step 2: Convert to fraction form
    394,132/866,996 = 866,996/x
  3. Step 3: Cross multiply
    394,132x = 866,996 × 866,996
  4. Step 4: Simplify right side
    394,132x = 751,682,064,016
  5. Step 5: Solve for x
    x = 751,682,064,016/394,132
  6. Step 6: Final answer
    x = 1,907,183.54

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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.