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Finding the Third Proportional to 422,568 and 928,080

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Solution

The third proportional to 422,568 and 928,080 is: 2,038,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,568 : 928,080 = 928,080 : x
  2. Step 2: Convert to fraction form
    422,568/928,080 = 928,080/x
  3. Step 3: Cross multiply
    422,568x = 928,080 × 928,080
  4. Step 4: Simplify right side
    422,568x = 861,332,486,400
  5. Step 5: Solve for x
    x = 861,332,486,400/422,568
  6. Step 6: Final answer
    x = 2,038,328.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.