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Finding the Third Proportional to 600,486 and 1,284,876

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Solution

The third proportional to 600,486 and 1,284,876 is: 2,749,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,486 : 1,284,876 = 1,284,876 : x
  2. Step 2: Convert to fraction form
    600,486/1,284,876 = 1,284,876/x
  3. Step 3: Cross multiply
    600,486x = 1,284,876 × 1,284,876
  4. Step 4: Simplify right side
    600,486x = 1,650,906,335,376
  5. Step 5: Solve for x
    x = 1,650,906,335,376/600,486
  6. Step 6: Final answer
    x = 2,749,283.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.