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Finding the Third Proportional to 4,313,544 and 6,766,092

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Solution

The third proportional to 4,313,544 and 6,766,092 is: 10,613,083.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313,544 : 6,766,092 = 6,766,092 : x
  2. Step 2: Convert to fraction form
    4,313,544/6,766,092 = 6,766,092/x
  3. Step 3: Cross multiply
    4,313,544x = 6,766,092 × 6,766,092
  4. Step 4: Simplify right side
    4,313,544x = 45,780,000,952,464
  5. Step 5: Solve for x
    x = 45,780,000,952,464/4,313,544
  6. Step 6: Final answer
    x = 10,613,083.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.