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Finding the Third Proportional to 450,184 and 960,632

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Solution

The third proportional to 450,184 and 960,632 is: 2,049,859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,184 : 960,632 = 960,632 : x
  2. Step 2: Convert to fraction form
    450,184/960,632 = 960,632/x
  3. Step 3: Cross multiply
    450,184x = 960,632 × 960,632
  4. Step 4: Simplify right side
    450,184x = 922,813,839,424
  5. Step 5: Solve for x
    x = 922,813,839,424/450,184
  6. Step 6: Final answer
    x = 2,049,859.26

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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.