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Finding the Third Proportional to 422,715 and 996,853

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Solution

The third proportional to 422,715 and 996,853 is: 2,350,794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,715 : 996,853 = 996,853 : x
  2. Step 2: Convert to fraction form
    422,715/996,853 = 996,853/x
  3. Step 3: Cross multiply
    422,715x = 996,853 × 996,853
  4. Step 4: Simplify right side
    422,715x = 993,715,903,609
  5. Step 5: Solve for x
    x = 993,715,903,609/422,715
  6. Step 6: Final answer
    x = 2,350,794.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.