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Finding the Third Proportional to 463,596 and 996,516

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Solution

The third proportional to 463,596 and 996,516 is: 2,142,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,596 : 996,516 = 996,516 : x
  2. Step 2: Convert to fraction form
    463,596/996,516 = 996,516/x
  3. Step 3: Cross multiply
    463,596x = 996,516 × 996,516
  4. Step 4: Simplify right side
    463,596x = 993,044,138,256
  5. Step 5: Solve for x
    x = 993,044,138,256/463,596
  6. Step 6: Final answer
    x = 2,142,046.39

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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.