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Finding the Third Proportional to 3,134,770 and 4,414,449

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Solution

The third proportional to 3,134,770 and 4,414,449 is: 6,216,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134,770 : 4,414,449 = 4,414,449 : x
  2. Step 2: Convert to fraction form
    3,134,770/4,414,449 = 4,414,449/x
  3. Step 3: Cross multiply
    3,134,770x = 4,414,449 × 4,414,449
  4. Step 4: Simplify right side
    3,134,770x = 19,487,359,973,601
  5. Step 5: Solve for x
    x = 19,487,359,973,601/3,134,770
  6. Step 6: Final answer
    x = 6,216,519.86

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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.