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Finding the Third Proportional to 2,105,919 and 4,548,081

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Solution

The third proportional to 2,105,919 and 4,548,081 is: 9,822,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,919 : 4,548,081 = 4,548,081 : x
  2. Step 2: Convert to fraction form
    2,105,919/4,548,081 = 4,548,081/x
  3. Step 3: Cross multiply
    2,105,919x = 4,548,081 × 4,548,081
  4. Step 4: Simplify right side
    2,105,919x = 20,685,040,782,561
  5. Step 5: Solve for x
    x = 20,685,040,782,561/2,105,919
  6. Step 6: Final answer
    x = 9,822,334.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.