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Finding the Third Proportional to 2,305,022 and 3,382,799

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Solution

The third proportional to 2,305,022 and 3,382,799 is: 4,964,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,022 : 3,382,799 = 3,382,799 : x
  2. Step 2: Convert to fraction form
    2,305,022/3,382,799 = 3,382,799/x
  3. Step 3: Cross multiply
    2,305,022x = 3,382,799 × 3,382,799
  4. Step 4: Simplify right side
    2,305,022x = 11,443,329,074,401
  5. Step 5: Solve for x
    x = 11,443,329,074,401/2,305,022
  6. Step 6: Final answer
    x = 4,964,520.54

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.