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Finding the Third Proportional to 422,626 and 996,640

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Solution

The third proportional to 422,626 and 996,640 is: 2,350,284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,626 : 996,640 = 996,640 : x
  2. Step 2: Convert to fraction form
    422,626/996,640 = 996,640/x
  3. Step 3: Cross multiply
    422,626x = 996,640 × 996,640
  4. Step 4: Simplify right side
    422,626x = 993,291,289,600
  5. Step 5: Solve for x
    x = 993,291,289,600/422,626
  6. Step 6: Final answer
    x = 2,350,284.39

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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.