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Finding the Third Proportional to 450,182 and 960,626

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Solution

The third proportional to 450,182 and 960,626 is: 2,049,842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,182 : 960,626 = 960,626 : x
  2. Step 2: Convert to fraction form
    450,182/960,626 = 960,626/x
  3. Step 3: Cross multiply
    450,182x = 960,626 × 960,626
  4. Step 4: Simplify right side
    450,182x = 922,802,311,876
  5. Step 5: Solve for x
    x = 922,802,311,876/450,182
  6. Step 6: Final answer
    x = 2,049,842.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.