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Finding the Third Proportional to 449,667 and 978,651

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Solution

The third proportional to 449,667 and 978,651 is: 2,129,926.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,667 : 978,651 = 978,651 : x
  2. Step 2: Convert to fraction form
    449,667/978,651 = 978,651/x
  3. Step 3: Cross multiply
    449,667x = 978,651 × 978,651
  4. Step 4: Simplify right side
    449,667x = 957,757,779,801
  5. Step 5: Solve for x
    x = 957,757,779,801/449,667
  6. Step 6: Final answer
    x = 2,129,926.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.