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Finding the Third Proportional to 450,671 and 978,372

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Solution

The third proportional to 450,671 and 978,372 is: 2,123,970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,671 : 978,372 = 978,372 : x
  2. Step 2: Convert to fraction form
    450,671/978,372 = 978,372/x
  3. Step 3: Cross multiply
    450,671x = 978,372 × 978,372
  4. Step 4: Simplify right side
    450,671x = 957,211,770,384
  5. Step 5: Solve for x
    x = 957,211,770,384/450,671
  6. Step 6: Final answer
    x = 2,123,970.19

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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.