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Finding the Third Proportional to 475,512 and 990,876

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Solution

The third proportional to 475,512 and 990,876 is: 2,064,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,512 : 990,876 = 990,876 : x
  2. Step 2: Convert to fraction form
    475,512/990,876 = 990,876/x
  3. Step 3: Cross multiply
    475,512x = 990,876 × 990,876
  4. Step 4: Simplify right side
    475,512x = 981,835,247,376
  5. Step 5: Solve for x
    x = 981,835,247,376/475,512
  6. Step 6: Final answer
    x = 2,064,795.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.