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Finding the Third Proportional to 3,214,934 and 4,378,197

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Solution

The third proportional to 3,214,934 and 4,378,197 is: 5,962,364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214,934 : 4,378,197 = 4,378,197 : x
  2. Step 2: Convert to fraction form
    3,214,934/4,378,197 = 4,378,197/x
  3. Step 3: Cross multiply
    3,214,934x = 4,378,197 × 4,378,197
  4. Step 4: Simplify right side
    3,214,934x = 19,168,608,970,809
  5. Step 5: Solve for x
    x = 19,168,608,970,809/3,214,934
  6. Step 6: Final answer
    x = 5,962,364.69

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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.