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Finding the Third Proportional to 3,859,771 and 5,677,387

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Solution

The third proportional to 3,859,771 and 5,677,387 is: 8,350,941.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859,771 : 5,677,387 = 5,677,387 : x
  2. Step 2: Convert to fraction form
    3,859,771/5,677,387 = 5,677,387/x
  3. Step 3: Cross multiply
    3,859,771x = 5,677,387 × 5,677,387
  4. Step 4: Simplify right side
    3,859,771x = 32,232,723,147,769
  5. Step 5: Solve for x
    x = 32,232,723,147,769/3,859,771
  6. Step 6: Final answer
    x = 8,350,941.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.