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Finding the Third Proportional to 2,201,634 and 3,100,413

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Solution

The third proportional to 2,201,634 and 3,100,413 is: 4,366,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201,634 : 3,100,413 = 3,100,413 : x
  2. Step 2: Convert to fraction form
    2,201,634/3,100,413 = 3,100,413/x
  3. Step 3: Cross multiply
    2,201,634x = 3,100,413 × 3,100,413
  4. Step 4: Simplify right side
    2,201,634x = 9,612,560,770,569
  5. Step 5: Solve for x
    x = 9,612,560,770,569/2,201,634
  6. Step 6: Final answer
    x = 4,366,102.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.