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Finding the Third Proportional to 797,638 and 1,707,380

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Solution

The third proportional to 797,638 and 1,707,380 is: 3,654,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,638 : 1,707,380 = 1,707,380 : x
  2. Step 2: Convert to fraction form
    797,638/1,707,380 = 1,707,380/x
  3. Step 3: Cross multiply
    797,638x = 1,707,380 × 1,707,380
  4. Step 4: Simplify right side
    797,638x = 2,915,146,464,400
  5. Step 5: Solve for x
    x = 2,915,146,464,400/797,638
  6. Step 6: Final answer
    x = 3,654,723.65

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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.