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Finding the Third Proportional to 519,050 and 1,115,698

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Solution

The third proportional to 519,050 and 1,115,698 is: 2,398,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,050 : 1,115,698 = 1,115,698 : x
  2. Step 2: Convert to fraction form
    519,050/1,115,698 = 1,115,698/x
  3. Step 3: Cross multiply
    519,050x = 1,115,698 × 1,115,698
  4. Step 4: Simplify right side
    519,050x = 1,244,782,027,204
  5. Step 5: Solve for x
    x = 1,244,782,027,204/519,050
  6. Step 6: Final answer
    x = 2,398,192.90

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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.