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Finding the Third Proportional to 3,863,173.50 and 5,246,704.13

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Solution

The third proportional to 3,863,173.50 and 5,246,704.13 is: 7,125,722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863,173.50 : 5,246,704.13 = 5,246,704.13 : x
  2. Step 2: Convert to fraction form
    3,863,173.50/5,246,704.13 = 5,246,704.13/x
  3. Step 3: Cross multiply
    3,863,173.50x = 5,246,704.13 × 5,246,704.13
  4. Step 4: Simplify right side
    3,863,173.50x = 27,527,904,175,292.02
  5. Step 5: Solve for x
    x = 27,527,904,175,292.02/3,863,173.50
  6. Step 6: Final answer
    x = 7,125,722.98

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.