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Finding the Third Proportional to 536,451 and 996,822

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Solution

The third proportional to 536,451 and 996,822 is: 1,852,273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,451 : 996,822 = 996,822 : x
  2. Step 2: Convert to fraction form
    536,451/996,822 = 996,822/x
  3. Step 3: Cross multiply
    536,451x = 996,822 × 996,822
  4. Step 4: Simplify right side
    536,451x = 993,654,099,684
  5. Step 5: Solve for x
    x = 993,654,099,684/536,451
  6. Step 6: Final answer
    x = 1,852,273.74

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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.