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Finding the Third Proportional to 996,923 and 2,186,849

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Solution

The third proportional to 996,923 and 2,186,849 is: 4,797,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,923 : 2,186,849 = 2,186,849 : x
  2. Step 2: Convert to fraction form
    996,923/2,186,849 = 2,186,849/x
  3. Step 3: Cross multiply
    996,923x = 2,186,849 × 2,186,849
  4. Step 4: Simplify right side
    996,923x = 4,782,308,548,801
  5. Step 5: Solve for x
    x = 4,782,308,548,801/996,923
  6. Step 6: Final answer
    x = 4,797,069.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.