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Finding the Third Proportional to 488,800 and 1,022,286

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Solution

The third proportional to 488,800 and 1,022,286 is: 2,138,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,800 : 1,022,286 = 1,022,286 : x
  2. Step 2: Convert to fraction form
    488,800/1,022,286 = 1,022,286/x
  3. Step 3: Cross multiply
    488,800x = 1,022,286 × 1,022,286
  4. Step 4: Simplify right side
    488,800x = 1,045,068,665,796
  5. Step 5: Solve for x
    x = 1,045,068,665,796/488,800
  6. Step 6: Final answer
    x = 2,138,029.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.