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Finding the Third Proportional to 491,277 and 1,074,200.25

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Solution

The third proportional to 491,277 and 1,074,200.25 is: 2,348,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,277 : 1,074,200.25 = 1,074,200.25 : x
  2. Step 2: Convert to fraction form
    491,277/1,074,200.25 = 1,074,200.25/x
  3. Step 3: Cross multiply
    491,277x = 1,074,200.25 × 1,074,200.25
  4. Step 4: Simplify right side
    491,277x = 1,153,906,177,100.06
  5. Step 5: Solve for x
    x = 1,153,906,177,100.06/491,277
  6. Step 6: Final answer
    x = 2,348,789.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.