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Finding the Third Proportional to 754,625 and 1,177,878

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Solution

The third proportional to 754,625 and 1,177,878 is: 1,838,524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,625 : 1,177,878 = 1,177,878 : x
  2. Step 2: Convert to fraction form
    754,625/1,177,878 = 1,177,878/x
  3. Step 3: Cross multiply
    754,625x = 1,177,878 × 1,177,878
  4. Step 4: Simplify right side
    754,625x = 1,387,396,582,884
  5. Step 5: Solve for x
    x = 1,387,396,582,884/754,625
  6. Step 6: Final answer
    x = 1,838,524.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.