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Finding the Third Proportional to 2,471,866 and 5,415,019

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Solution

The third proportional to 2,471,866 and 5,415,019 is: 11,862,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471,866 : 5,415,019 = 5,415,019 : x
  2. Step 2: Convert to fraction form
    2,471,866/5,415,019 = 5,415,019/x
  3. Step 3: Cross multiply
    2,471,866x = 5,415,019 × 5,415,019
  4. Step 4: Simplify right side
    2,471,866x = 29,322,430,770,361
  5. Step 5: Solve for x
    x = 29,322,430,770,361/2,471,866
  6. Step 6: Final answer
    x = 11,862,467.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.