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Finding the Third Proportional to 449,857 and 978,446

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Solution

The third proportional to 449,857 and 978,446 is: 2,128,135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,857 : 978,446 = 978,446 : x
  2. Step 2: Convert to fraction form
    449,857/978,446 = 978,446/x
  3. Step 3: Cross multiply
    449,857x = 978,446 × 978,446
  4. Step 4: Simplify right side
    449,857x = 957,356,574,916
  5. Step 5: Solve for x
    x = 957,356,574,916/449,857
  6. Step 6: Final answer
    x = 2,128,135.33

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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.