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Finding the Third Proportional to 455,019 and 978,727

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Solution

The third proportional to 455,019 and 978,727 is: 2,105,201.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,019 : 978,727 = 978,727 : x
  2. Step 2: Convert to fraction form
    455,019/978,727 = 978,727/x
  3. Step 3: Cross multiply
    455,019x = 978,727 × 978,727
  4. Step 4: Simplify right side
    455,019x = 957,906,540,529
  5. Step 5: Solve for x
    x = 957,906,540,529/455,019
  6. Step 6: Final answer
    x = 2,105,201.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.