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Finding the Third Proportional to 996,909 and 2,186,821

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Solution

The third proportional to 996,909 and 2,186,821 is: 4,797,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,909 : 2,186,821 = 2,186,821 : x
  2. Step 2: Convert to fraction form
    996,909/2,186,821 = 2,186,821/x
  3. Step 3: Cross multiply
    996,909x = 2,186,821 × 2,186,821
  4. Step 4: Simplify right side
    996,909x = 4,782,186,086,041
  5. Step 5: Solve for x
    x = 4,782,186,086,041/996,909
  6. Step 6: Final answer
    x = 4,797,013.66

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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.