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Finding the Third Proportional to 1,123,025 and 2,442,814

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Solution

The third proportional to 1,123,025 and 2,442,814 is: 5,313,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123,025 : 2,442,814 = 2,442,814 : x
  2. Step 2: Convert to fraction form
    1,123,025/2,442,814 = 2,442,814/x
  3. Step 3: Cross multiply
    1,123,025x = 2,442,814 × 2,442,814
  4. Step 4: Simplify right side
    1,123,025x = 5,967,340,238,596
  5. Step 5: Solve for x
    x = 5,967,340,238,596/1,123,025
  6. Step 6: Final answer
    x = 5,313,630.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.