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Finding the Third Proportional to 3,859,722 and 5,677,314

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Solution

The third proportional to 3,859,722 and 5,677,314 is: 8,350,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859,722 : 5,677,314 = 5,677,314 : x
  2. Step 2: Convert to fraction form
    3,859,722/5,677,314 = 5,677,314/x
  3. Step 3: Cross multiply
    3,859,722x = 5,677,314 × 5,677,314
  4. Step 4: Simplify right side
    3,859,722x = 32,231,894,254,596
  5. Step 5: Solve for x
    x = 32,231,894,254,596/3,859,722
  6. Step 6: Final answer
    x = 8,350,833.11

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