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Finding the Third Proportional to 2,198,434 and 3,497,125

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Solution

The third proportional to 2,198,434 and 3,497,125 is: 5,562,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,434 : 3,497,125 = 3,497,125 : x
  2. Step 2: Convert to fraction form
    2,198,434/3,497,125 = 3,497,125/x
  3. Step 3: Cross multiply
    2,198,434x = 3,497,125 × 3,497,125
  4. Step 4: Simplify right side
    2,198,434x = 12,229,883,265,625
  5. Step 5: Solve for x
    x = 12,229,883,265,625/2,198,434
  6. Step 6: Final answer
    x = 5,562,997.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.