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Finding the Third Proportional to 389,612 and 936,041

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Solution

The third proportional to 389,612 and 936,041 is: 2,248,834.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,612 : 936,041 = 936,041 : x
  2. Step 2: Convert to fraction form
    389,612/936,041 = 936,041/x
  3. Step 3: Cross multiply
    389,612x = 936,041 × 936,041
  4. Step 4: Simplify right side
    389,612x = 876,172,753,681
  5. Step 5: Solve for x
    x = 876,172,753,681/389,612
  6. Step 6: Final answer
    x = 2,248,834.11

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.