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Finding the Third Proportional to 467,592 and 993,504

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Solution

The third proportional to 467,592 and 993,504 is: 2,110,921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,592 : 993,504 = 993,504 : x
  2. Step 2: Convert to fraction form
    467,592/993,504 = 993,504/x
  3. Step 3: Cross multiply
    467,592x = 993,504 × 993,504
  4. Step 4: Simplify right side
    467,592x = 987,050,198,016
  5. Step 5: Solve for x
    x = 987,050,198,016/467,592
  6. Step 6: Final answer
    x = 2,110,921.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.