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Finding the Third Proportional to 996,974 and 2,162,212

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Solution

The third proportional to 996,974 and 2,162,212 is: 4,689,350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,974 : 2,162,212 = 2,162,212 : x
  2. Step 2: Convert to fraction form
    996,974/2,162,212 = 2,162,212/x
  3. Step 3: Cross multiply
    996,974x = 2,162,212 × 2,162,212
  4. Step 4: Simplify right side
    996,974x = 4,675,160,732,944
  5. Step 5: Solve for x
    x = 4,675,160,732,944/996,974
  6. Step 6: Final answer
    x = 4,689,350.71

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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.