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Finding the Third Proportional to 422,615 and 996,632

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Solution

The third proportional to 422,615 and 996,632 is: 2,350,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,615 : 996,632 = 996,632 : x
  2. Step 2: Convert to fraction form
    422,615/996,632 = 996,632/x
  3. Step 3: Cross multiply
    422,615x = 996,632 × 996,632
  4. Step 4: Simplify right side
    422,615x = 993,275,343,424
  5. Step 5: Solve for x
    x = 993,275,343,424/422,615
  6. Step 6: Final answer
    x = 2,350,307.83

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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.