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Finding the Third Proportional to 449,947 and 978,626

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Solution

The third proportional to 449,947 and 978,626 is: 2,128,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,947 : 978,626 = 978,626 : x
  2. Step 2: Convert to fraction form
    449,947/978,626 = 978,626/x
  3. Step 3: Cross multiply
    449,947x = 978,626 × 978,626
  4. Step 4: Simplify right side
    449,947x = 957,708,847,876
  5. Step 5: Solve for x
    x = 957,708,847,876/449,947
  6. Step 6: Final answer
    x = 2,128,492.57

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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.