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Finding the Third Proportional to 2,471,868 and 3,825,412

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Solution

The third proportional to 2,471,868 and 3,825,412 is: 5,920,128.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471,868 : 3,825,412 = 3,825,412 : x
  2. Step 2: Convert to fraction form
    2,471,868/3,825,412 = 3,825,412/x
  3. Step 3: Cross multiply
    2,471,868x = 3,825,412 × 3,825,412
  4. Step 4: Simplify right side
    2,471,868x = 14,633,776,969,744
  5. Step 5: Solve for x
    x = 14,633,776,969,744/2,471,868
  6. Step 6: Final answer
    x = 5,920,128.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.