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Finding the Third Proportional to 996,978 and 2,162,214

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Solution

The third proportional to 996,978 and 2,162,214 is: 4,689,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,978 : 2,162,214 = 2,162,214 : x
  2. Step 2: Convert to fraction form
    996,978/2,162,214 = 2,162,214/x
  3. Step 3: Cross multiply
    996,978x = 2,162,214 × 2,162,214
  4. Step 4: Simplify right side
    996,978x = 4,675,169,381,796
  5. Step 5: Solve for x
    x = 4,675,169,381,796/996,978
  6. Step 6: Final answer
    x = 4,689,340.57

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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.