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Finding the Third Proportional to 3,831,049 and 5,736,022

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Solution

The third proportional to 3,831,049 and 5,736,022 is: 8,588,234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831,049 : 5,736,022 = 5,736,022 : x
  2. Step 2: Convert to fraction form
    3,831,049/5,736,022 = 5,736,022/x
  3. Step 3: Cross multiply
    3,831,049x = 5,736,022 × 5,736,022
  4. Step 4: Simplify right side
    3,831,049x = 32,901,948,384,484
  5. Step 5: Solve for x
    x = 32,901,948,384,484/3,831,049
  6. Step 6: Final answer
    x = 8,588,234.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.