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Finding the Third Proportional to 3,211,498 and 4,374,256

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Solution

The third proportional to 3,211,498 and 4,374,256 is: 5,958,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,498 : 4,374,256 = 4,374,256 : x
  2. Step 2: Convert to fraction form
    3,211,498/4,374,256 = 4,374,256/x
  3. Step 3: Cross multiply
    3,211,498x = 4,374,256 × 4,374,256
  4. Step 4: Simplify right side
    3,211,498x = 19,134,115,553,536
  5. Step 5: Solve for x
    x = 19,134,115,553,536/3,211,498
  6. Step 6: Final answer
    x = 5,958,003.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.