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Finding the Third Proportional to 536,452 and 996,824

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Solution

The third proportional to 536,452 and 996,824 is: 1,852,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,452 : 996,824 = 996,824 : x
  2. Step 2: Convert to fraction form
    536,452/996,824 = 996,824/x
  3. Step 3: Cross multiply
    536,452x = 996,824 × 996,824
  4. Step 4: Simplify right side
    536,452x = 993,658,086,976
  5. Step 5: Solve for x
    x = 993,658,086,976/536,452
  6. Step 6: Final answer
    x = 1,852,277.72

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.