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Finding the Third Proportional to 485,024 and 994,080

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Solution

The third proportional to 485,024 and 994,080 is: 2,037,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,024 : 994,080 = 994,080 : x
  2. Step 2: Convert to fraction form
    485,024/994,080 = 994,080/x
  3. Step 3: Cross multiply
    485,024x = 994,080 × 994,080
  4. Step 4: Simplify right side
    485,024x = 988,195,046,400
  5. Step 5: Solve for x
    x = 988,195,046,400/485,024
  6. Step 6: Final answer
    x = 2,037,414.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.