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Finding the Third Proportional to 798,198 and 1,707,084

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Solution

The third proportional to 798,198 and 1,707,084 is: 3,650,893.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,198 : 1,707,084 = 1,707,084 : x
  2. Step 2: Convert to fraction form
    798,198/1,707,084 = 1,707,084/x
  3. Step 3: Cross multiply
    798,198x = 1,707,084 × 1,707,084
  4. Step 4: Simplify right side
    798,198x = 2,914,135,783,056
  5. Step 5: Solve for x
    x = 2,914,135,783,056/798,198
  6. Step 6: Final answer
    x = 3,650,893.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.