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Finding the Third Proportional to 4,419,186 and 6,824,147

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Solution

The third proportional to 4,419,186 and 6,824,147 is: 10,537,909.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,419,186 : 6,824,147 = 6,824,147 : x
  2. Step 2: Convert to fraction form
    4,419,186/6,824,147 = 6,824,147/x
  3. Step 3: Cross multiply
    4,419,186x = 6,824,147 × 6,824,147
  4. Step 4: Simplify right side
    4,419,186x = 46,568,982,277,609
  5. Step 5: Solve for x
    x = 46,568,982,277,609/4,419,186
  6. Step 6: Final answer
    x = 10,537,909.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.