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Finding the Third Proportional to 467,760 and 993,824

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Solution

The third proportional to 467,760 and 993,824 is: 2,111,523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,760 : 993,824 = 993,824 : x
  2. Step 2: Convert to fraction form
    467,760/993,824 = 993,824/x
  3. Step 3: Cross multiply
    467,760x = 993,824 × 993,824
  4. Step 4: Simplify right side
    467,760x = 987,686,142,976
  5. Step 5: Solve for x
    x = 987,686,142,976/467,760
  6. Step 6: Final answer
    x = 2,111,523.31

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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.