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Finding the Third Proportional to 535,936 and 1,115,975

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Solution

The third proportional to 535,936 and 1,115,975 is: 2,323,785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,936 : 1,115,975 = 1,115,975 : x
  2. Step 2: Convert to fraction form
    535,936/1,115,975 = 1,115,975/x
  3. Step 3: Cross multiply
    535,936x = 1,115,975 × 1,115,975
  4. Step 4: Simplify right side
    535,936x = 1,245,400,200,625
  5. Step 5: Solve for x
    x = 1,245,400,200,625/535,936
  6. Step 6: Final answer
    x = 2,323,785.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.