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Finding the Third Proportional to 386,006 and 850,542

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Solution

The third proportional to 386,006 and 850,542 is: 1,874,120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,006 : 850,542 = 850,542 : x
  2. Step 2: Convert to fraction form
    386,006/850,542 = 850,542/x
  3. Step 3: Cross multiply
    386,006x = 850,542 × 850,542
  4. Step 4: Simplify right side
    386,006x = 723,421,693,764
  5. Step 5: Solve for x
    x = 723,421,693,764/386,006
  6. Step 6: Final answer
    x = 1,874,120.33

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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.