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Finding the Third Proportional to 3,948,710 and 5,971,665

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Solution

The third proportional to 3,948,710 and 5,971,665 is: 9,030,995.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948,710 : 5,971,665 = 5,971,665 : x
  2. Step 2: Convert to fraction form
    3,948,710/5,971,665 = 5,971,665/x
  3. Step 3: Cross multiply
    3,948,710x = 5,971,665 × 5,971,665
  4. Step 4: Simplify right side
    3,948,710x = 35,660,782,872,225
  5. Step 5: Solve for x
    x = 35,660,782,872,225/3,948,710
  6. Step 6: Final answer
    x = 9,030,995.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.