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Finding the Third Proportional to 4,198,832 and 6,297,153

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Solution

The third proportional to 4,198,832 and 6,297,153 is: 9,444,087.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198,832 : 6,297,153 = 6,297,153 : x
  2. Step 2: Convert to fraction form
    4,198,832/6,297,153 = 6,297,153/x
  3. Step 3: Cross multiply
    4,198,832x = 6,297,153 × 6,297,153
  4. Step 4: Simplify right side
    4,198,832x = 39,654,135,905,409
  5. Step 5: Solve for x
    x = 39,654,135,905,409/4,198,832
  6. Step 6: Final answer
    x = 9,444,087.29

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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.