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Finding the Third Proportional to 768,938 and 1,682,634

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Solution

The third proportional to 768,938 and 1,682,634 is: 3,682,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,938 : 1,682,634 = 1,682,634 : x
  2. Step 2: Convert to fraction form
    768,938/1,682,634 = 1,682,634/x
  3. Step 3: Cross multiply
    768,938x = 1,682,634 × 1,682,634
  4. Step 4: Simplify right side
    768,938x = 2,831,257,177,956
  5. Step 5: Solve for x
    x = 2,831,257,177,956/768,938
  6. Step 6: Final answer
    x = 3,682,035.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.