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Finding the Third Proportional to 450,180 and 960,622

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Solution

The third proportional to 450,180 and 960,622 is: 2,049,834.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,180 : 960,622 = 960,622 : x
  2. Step 2: Convert to fraction form
    450,180/960,622 = 960,622/x
  3. Step 3: Cross multiply
    450,180x = 960,622 × 960,622
  4. Step 4: Simplify right side
    450,180x = 922,794,626,884
  5. Step 5: Solve for x
    x = 922,794,626,884/450,180
  6. Step 6: Final answer
    x = 2,049,834.79

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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.