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Finding the Third Proportional to 2,459,214 and 5,040,900

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Solution

The third proportional to 2,459,214 and 5,040,900 is: 10,332,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459,214 : 5,040,900 = 5,040,900 : x
  2. Step 2: Convert to fraction form
    2,459,214/5,040,900 = 5,040,900/x
  3. Step 3: Cross multiply
    2,459,214x = 5,040,900 × 5,040,900
  4. Step 4: Simplify right side
    2,459,214x = 25,410,672,810,000
  5. Step 5: Solve for x
    x = 25,410,672,810,000/2,459,214
  6. Step 6: Final answer
    x = 10,332,843.26

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.