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Finding the Third Proportional to 3,847,099 and 5,980,655

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Solution

The third proportional to 3,847,099 and 5,980,655 is: 9,297,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847,099 : 5,980,655 = 5,980,655 : x
  2. Step 2: Convert to fraction form
    3,847,099/5,980,655 = 5,980,655/x
  3. Step 3: Cross multiply
    3,847,099x = 5,980,655 × 5,980,655
  4. Step 4: Simplify right side
    3,847,099x = 35,768,234,229,025
  5. Step 5: Solve for x
    x = 35,768,234,229,025/3,847,099
  6. Step 6: Final answer
    x = 9,297,456.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.