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Finding the Third Proportional to 450,667 and 978,364

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Solution

The third proportional to 450,667 and 978,364 is: 2,123,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,667 : 978,364 = 978,364 : x
  2. Step 2: Convert to fraction form
    450,667/978,364 = 978,364/x
  3. Step 3: Cross multiply
    450,667x = 978,364 × 978,364
  4. Step 4: Simplify right side
    450,667x = 957,196,116,496
  5. Step 5: Solve for x
    x = 957,196,116,496/450,667
  6. Step 6: Final answer
    x = 2,123,954.31

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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.