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Finding the Third Proportional to 458,512 and 996,080

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Solution

The third proportional to 458,512 and 996,080 is: 2,163,902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,512 : 996,080 = 996,080 : x
  2. Step 2: Convert to fraction form
    458,512/996,080 = 996,080/x
  3. Step 3: Cross multiply
    458,512x = 996,080 × 996,080
  4. Step 4: Simplify right side
    458,512x = 992,175,366,400
  5. Step 5: Solve for x
    x = 992,175,366,400/458,512
  6. Step 6: Final answer
    x = 2,163,902.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.