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Finding the Third Proportional to 4,198,846 and 6,297,177

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Solution

The third proportional to 4,198,846 and 6,297,177 is: 9,444,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198,846 : 6,297,177 = 6,297,177 : x
  2. Step 2: Convert to fraction form
    4,198,846/6,297,177 = 6,297,177/x
  3. Step 3: Cross multiply
    4,198,846x = 6,297,177 × 6,297,177
  4. Step 4: Simplify right side
    4,198,846x = 39,654,438,169,329
  5. Step 5: Solve for x
    x = 39,654,438,169,329/4,198,846
  6. Step 6: Final answer
    x = 9,444,127.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.