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Finding the Third Proportional to 1,682,397 and 2,543,667

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Solution

The third proportional to 1,682,397 and 2,543,667 is: 3,845,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,397 : 2,543,667 = 2,543,667 : x
  2. Step 2: Convert to fraction form
    1,682,397/2,543,667 = 2,543,667/x
  3. Step 3: Cross multiply
    1,682,397x = 2,543,667 × 2,543,667
  4. Step 4: Simplify right side
    1,682,397x = 6,470,241,806,889
  5. Step 5: Solve for x
    x = 6,470,241,806,889/1,682,397
  6. Step 6: Final answer
    x = 3,845,847.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.