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Finding the Third Proportional to 1,071,240 and 2,231,256

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Solution

The third proportional to 1,071,240 and 2,231,256 is: 4,647,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,240 : 2,231,256 = 2,231,256 : x
  2. Step 2: Convert to fraction form
    1,071,240/2,231,256 = 2,231,256/x
  3. Step 3: Cross multiply
    1,071,240x = 2,231,256 × 2,231,256
  4. Step 4: Simplify right side
    1,071,240x = 4,978,503,337,536
  5. Step 5: Solve for x
    x = 4,978,503,337,536/1,071,240
  6. Step 6: Final answer
    x = 4,647,421.06

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.