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Finding the Third Proportional to 683,419 and 1,086,161

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Solution

The third proportional to 683,419 and 1,086,161 is: 1,726,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,419 : 1,086,161 = 1,086,161 : x
  2. Step 2: Convert to fraction form
    683,419/1,086,161 = 1,086,161/x
  3. Step 3: Cross multiply
    683,419x = 1,086,161 × 1,086,161
  4. Step 4: Simplify right side
    683,419x = 1,179,745,717,921
  5. Step 5: Solve for x
    x = 1,179,745,717,921/683,419
  6. Step 6: Final answer
    x = 1,726,240.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.