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Finding the Third Proportional to 767,976 and 1,033,845.75

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Solution

The third proportional to 767,976 and 1,033,845.75 is: 1,391,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,976 : 1,033,845.75 = 1,033,845.75 : x
  2. Step 2: Convert to fraction form
    767,976/1,033,845.75 = 1,033,845.75/x
  3. Step 3: Cross multiply
    767,976x = 1,033,845.75 × 1,033,845.75
  4. Step 4: Simplify right side
    767,976x = 1,068,837,034,793.06
  5. Step 5: Solve for x
    x = 1,068,837,034,793.06/767,976
  6. Step 6: Final answer
    x = 1,391,758.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.