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Finding the Third Proportional to 996,967 and 2,162,198

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Solution

The third proportional to 996,967 and 2,162,198 is: 4,689,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,967 : 2,162,198 = 2,162,198 : x
  2. Step 2: Convert to fraction form
    996,967/2,162,198 = 2,162,198/x
  3. Step 3: Cross multiply
    996,967x = 2,162,198 × 2,162,198
  4. Step 4: Simplify right side
    996,967x = 4,675,100,191,204
  5. Step 5: Solve for x
    x = 4,675,100,191,204/996,967
  6. Step 6: Final answer
    x = 4,689,322.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.