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Finding the Third Proportional to 4,057,206 and 6,278,966

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Solution

The third proportional to 4,057,206 and 6,278,966 is: 9,717,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057,206 : 6,278,966 = 6,278,966 : x
  2. Step 2: Convert to fraction form
    4,057,206/6,278,966 = 6,278,966/x
  3. Step 3: Cross multiply
    4,057,206x = 6,278,966 × 6,278,966
  4. Step 4: Simplify right side
    4,057,206x = 39,425,414,029,156
  5. Step 5: Solve for x
    x = 39,425,414,029,156/4,057,206
  6. Step 6: Final answer
    x = 9,717,380.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.