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Finding the Third Proportional to 393,438 and 923,811

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Solution

The third proportional to 393,438 and 923,811 is: 2,169,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,438 : 923,811 = 923,811 : x
  2. Step 2: Convert to fraction form
    393,438/923,811 = 923,811/x
  3. Step 3: Cross multiply
    393,438x = 923,811 × 923,811
  4. Step 4: Simplify right side
    393,438x = 853,426,763,721
  5. Step 5: Solve for x
    x = 853,426,763,721/393,438
  6. Step 6: Final answer
    x = 2,169,151.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.