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Finding the Third Proportional to 996,965 and 2,162,194

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Solution

The third proportional to 996,965 and 2,162,194 is: 4,689,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,965 : 2,162,194 = 2,162,194 : x
  2. Step 2: Convert to fraction form
    996,965/2,162,194 = 2,162,194/x
  3. Step 3: Cross multiply
    996,965x = 2,162,194 × 2,162,194
  4. Step 4: Simplify right side
    996,965x = 4,675,082,893,636
  5. Step 5: Solve for x
    x = 4,675,082,893,636/996,965
  6. Step 6: Final answer
    x = 4,689,314.96

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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.