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Finding the Third Proportional to 705,100 and 1,059,198

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Solution

The third proportional to 705,100 and 1,059,198 is: 1,591,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,100 : 1,059,198 = 1,059,198 : x
  2. Step 2: Convert to fraction form
    705,100/1,059,198 = 1,059,198/x
  3. Step 3: Cross multiply
    705,100x = 1,059,198 × 1,059,198
  4. Step 4: Simplify right side
    705,100x = 1,121,900,403,204
  5. Step 5: Solve for x
    x = 1,121,900,403,204/705,100
  6. Step 6: Final answer
    x = 1,591,122.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.