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Finding the Third Proportional to 449,651 and 978,619

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Solution

The third proportional to 449,651 and 978,619 is: 2,129,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,651 : 978,619 = 978,619 : x
  2. Step 2: Convert to fraction form
    449,651/978,619 = 978,619/x
  3. Step 3: Cross multiply
    449,651x = 978,619 × 978,619
  4. Step 4: Simplify right side
    449,651x = 957,695,147,161
  5. Step 5: Solve for x
    x = 957,695,147,161/449,651
  6. Step 6: Final answer
    x = 2,129,863.27

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Why These Related Problems?

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