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Finding the Third Proportional to 453,744 and 978,198

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Solution

The third proportional to 453,744 and 978,198 is: 2,108,835.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,744 : 978,198 = 978,198 : x
  2. Step 2: Convert to fraction form
    453,744/978,198 = 978,198/x
  3. Step 3: Cross multiply
    453,744x = 978,198 × 978,198
  4. Step 4: Simplify right side
    453,744x = 956,871,327,204
  5. Step 5: Solve for x
    x = 956,871,327,204/453,744
  6. Step 6: Final answer
    x = 2,108,835.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.