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Finding the Third Proportional to 459,121 and 996,868

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Solution

The third proportional to 459,121 and 996,868 is: 2,164,452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,121 : 996,868 = 996,868 : x
  2. Step 2: Convert to fraction form
    459,121/996,868 = 996,868/x
  3. Step 3: Cross multiply
    459,121x = 996,868 × 996,868
  4. Step 4: Simplify right side
    459,121x = 993,745,809,424
  5. Step 5: Solve for x
    x = 993,745,809,424/459,121
  6. Step 6: Final answer
    x = 2,164,452.96

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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.