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Finding the Third Proportional to 491,197.50 and 1,057,093.88

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Solution

The third proportional to 491,197.50 and 1,057,093.88 is: 2,274,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,197.50 : 1,057,093.88 = 1,057,093.88 : x
  2. Step 2: Convert to fraction form
    491,197.50/1,057,093.88 = 1,057,093.88/x
  3. Step 3: Cross multiply
    491,197.50x = 1,057,093.88 × 1,057,093.88
  4. Step 4: Simplify right side
    491,197.50x = 1,117,447,460,562.52
  5. Step 5: Solve for x
    x = 1,117,447,460,562.52/491,197.50
  6. Step 6: Final answer
    x = 2,274,945.33

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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.