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Finding the Third Proportional to 450,439 and 978,757

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Solution

The third proportional to 450,439 and 978,757 is: 2,126,736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,439 : 978,757 = 978,757 : x
  2. Step 2: Convert to fraction form
    450,439/978,757 = 978,757/x
  3. Step 3: Cross multiply
    450,439x = 978,757 × 978,757
  4. Step 4: Simplify right side
    450,439x = 957,965,265,049
  5. Step 5: Solve for x
    x = 957,965,265,049/450,439
  6. Step 6: Final answer
    x = 2,126,736.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.