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Finding the Third Proportional to 407,928 and 871,908

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Solution

The third proportional to 407,928 and 871,908 is: 1,863,621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,928 : 871,908 = 871,908 : x
  2. Step 2: Convert to fraction form
    407,928/871,908 = 871,908/x
  3. Step 3: Cross multiply
    407,928x = 871,908 × 871,908
  4. Step 4: Simplify right side
    407,928x = 760,223,560,464
  5. Step 5: Solve for x
    x = 760,223,560,464/407,928
  6. Step 6: Final answer
    x = 1,863,621.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.