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Finding the Third Proportional to 2,413,876 and 3,383,041

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Solution

The third proportional to 2,413,876 and 3,383,041 is: 4,741,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413,876 : 3,383,041 = 3,383,041 : x
  2. Step 2: Convert to fraction form
    2,413,876/3,383,041 = 3,383,041/x
  3. Step 3: Cross multiply
    2,413,876x = 3,383,041 × 3,383,041
  4. Step 4: Simplify right side
    2,413,876x = 11,444,966,407,681
  5. Step 5: Solve for x
    x = 11,444,966,407,681/2,413,876
  6. Step 6: Final answer
    x = 4,741,323.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.