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Finding the Third Proportional to 450,186 and 960,636

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Solution

The third proportional to 450,186 and 960,636 is: 2,049,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,186 : 960,636 = 960,636 : x
  2. Step 2: Convert to fraction form
    450,186/960,636 = 960,636/x
  3. Step 3: Cross multiply
    450,186x = 960,636 × 960,636
  4. Step 4: Simplify right side
    450,186x = 922,821,524,496
  5. Step 5: Solve for x
    x = 922,821,524,496/450,186
  6. Step 6: Final answer
    x = 2,049,867.22

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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.