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Finding the Third Proportional to 2,981,204 and 6,434,524

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Solution

The third proportional to 2,981,204 and 6,434,524 is: 13,888,046.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981,204 : 6,434,524 = 6,434,524 : x
  2. Step 2: Convert to fraction form
    2,981,204/6,434,524 = 6,434,524/x
  3. Step 3: Cross multiply
    2,981,204x = 6,434,524 × 6,434,524
  4. Step 4: Simplify right side
    2,981,204x = 41,403,099,106,576
  5. Step 5: Solve for x
    x = 41,403,099,106,576/2,981,204
  6. Step 6: Final answer
    x = 13,888,046.27

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Why These Related Problems?

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