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Finding the Third Proportional to 4,198,831 and 6,297,152

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Solution

The third proportional to 4,198,831 and 6,297,152 is: 9,444,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198,831 : 6,297,152 = 6,297,152 : x
  2. Step 2: Convert to fraction form
    4,198,831/6,297,152 = 6,297,152/x
  3. Step 3: Cross multiply
    4,198,831x = 6,297,152 × 6,297,152
  4. Step 4: Simplify right side
    4,198,831x = 39,654,123,311,104
  5. Step 5: Solve for x
    x = 39,654,123,311,104/4,198,831
  6. Step 6: Final answer
    x = 9,444,086.54

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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.