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Finding the Third Proportional to 533,690 and 1,275,662

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Solution

The third proportional to 533,690 and 1,275,662 is: 3,049,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,690 : 1,275,662 = 1,275,662 : x
  2. Step 2: Convert to fraction form
    533,690/1,275,662 = 1,275,662/x
  3. Step 3: Cross multiply
    533,690x = 1,275,662 × 1,275,662
  4. Step 4: Simplify right side
    533,690x = 1,627,313,538,244
  5. Step 5: Solve for x
    x = 1,627,313,538,244/533,690
  6. Step 6: Final answer
    x = 3,049,173.75

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.