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Finding the Third Proportional to 599,676 and 1,288,280

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Solution

The third proportional to 599,676 and 1,288,280 is: 2,767,603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,676 : 1,288,280 = 1,288,280 : x
  2. Step 2: Convert to fraction form
    599,676/1,288,280 = 1,288,280/x
  3. Step 3: Cross multiply
    599,676x = 1,288,280 × 1,288,280
  4. Step 4: Simplify right side
    599,676x = 1,659,665,358,400
  5. Step 5: Solve for x
    x = 1,659,665,358,400/599,676
  6. Step 6: Final answer
    x = 2,767,603.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.