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Finding the Third Proportional to 454,578 and 957,081

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Solution

The third proportional to 454,578 and 957,081 is: 2,015,064.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,578 : 957,081 = 957,081 : x
  2. Step 2: Convert to fraction form
    454,578/957,081 = 957,081/x
  3. Step 3: Cross multiply
    454,578x = 957,081 × 957,081
  4. Step 4: Simplify right side
    454,578x = 916,004,040,561
  5. Step 5: Solve for x
    x = 916,004,040,561/454,578
  6. Step 6: Final answer
    x = 2,015,064.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.