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Finding the Third Proportional to 3,647,600 and 5,473,344

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Solution

The third proportional to 3,647,600 and 5,473,344 is: 8,212,933.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,600 : 5,473,344 = 5,473,344 : x
  2. Step 2: Convert to fraction form
    3,647,600/5,473,344 = 5,473,344/x
  3. Step 3: Cross multiply
    3,647,600x = 5,473,344 × 5,473,344
  4. Step 4: Simplify right side
    3,647,600x = 29,957,494,542,336
  5. Step 5: Solve for x
    x = 29,957,494,542,336/3,647,600
  6. Step 6: Final answer
    x = 8,212,933.04

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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.