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Finding the Third Proportional to 395,949 and 866,727

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Solution

The third proportional to 395,949 and 866,727 is: 1,897,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,949 : 866,727 = 866,727 : x
  2. Step 2: Convert to fraction form
    395,949/866,727 = 866,727/x
  3. Step 3: Cross multiply
    395,949x = 866,727 × 866,727
  4. Step 4: Simplify right side
    395,949x = 751,215,692,529
  5. Step 5: Solve for x
    x = 751,215,692,529/395,949
  6. Step 6: Final answer
    x = 1,897,253.67

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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.