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Finding the Third Proportional to 455,027 and 978,743

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Solution

The third proportional to 455,027 and 978,743 is: 2,105,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,027 : 978,743 = 978,743 : x
  2. Step 2: Convert to fraction form
    455,027/978,743 = 978,743/x
  3. Step 3: Cross multiply
    455,027x = 978,743 × 978,743
  4. Step 4: Simplify right side
    455,027x = 957,937,860,049
  5. Step 5: Solve for x
    x = 957,937,860,049/455,027
  6. Step 6: Final answer
    x = 2,105,233.01

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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.