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Finding the Third Proportional to 462,320 and 993,608

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Solution

The third proportional to 462,320 and 993,608 is: 2,135,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,320 : 993,608 = 993,608 : x
  2. Step 2: Convert to fraction form
    462,320/993,608 = 993,608/x
  3. Step 3: Cross multiply
    462,320x = 993,608 × 993,608
  4. Step 4: Simplify right side
    462,320x = 987,256,857,664
  5. Step 5: Solve for x
    x = 987,256,857,664/462,320
  6. Step 6: Final answer
    x = 2,135,440.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.