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Finding the Third Proportional to 996,982 and 2,162,227

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Solution

The third proportional to 996,982 and 2,162,227 is: 4,689,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,982 : 2,162,227 = 2,162,227 : x
  2. Step 2: Convert to fraction form
    996,982/2,162,227 = 2,162,227/x
  3. Step 3: Cross multiply
    996,982x = 2,162,227 × 2,162,227
  4. Step 4: Simplify right side
    996,982x = 4,675,225,599,529
  5. Step 5: Solve for x
    x = 4,675,225,599,529/996,982
  6. Step 6: Final answer
    x = 4,689,378.14

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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.