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Finding the Third Proportional to 599,684 and 1,288,296

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Solution

The third proportional to 599,684 and 1,288,296 is: 2,767,635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,684 : 1,288,296 = 1,288,296 : x
  2. Step 2: Convert to fraction form
    599,684/1,288,296 = 1,288,296/x
  3. Step 3: Cross multiply
    599,684x = 1,288,296 × 1,288,296
  4. Step 4: Simplify right side
    599,684x = 1,659,706,583,616
  5. Step 5: Solve for x
    x = 1,659,706,583,616/599,684
  6. Step 6: Final answer
    x = 2,767,635.26

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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.