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Finding the Third Proportional to 3,740,544 and 5,348,592

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Solution

The third proportional to 3,740,544 and 5,348,592 is: 7,647,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740,544 : 5,348,592 = 5,348,592 : x
  2. Step 2: Convert to fraction form
    3,740,544/5,348,592 = 5,348,592/x
  3. Step 3: Cross multiply
    3,740,544x = 5,348,592 × 5,348,592
  4. Step 4: Simplify right side
    3,740,544x = 28,607,436,382,464
  5. Step 5: Solve for x
    x = 28,607,436,382,464/3,740,544
  6. Step 6: Final answer
    x = 7,647,934.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.