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Finding the Third Proportional to 447,733 and 967,636

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Solution

The third proportional to 447,733 and 967,636 is: 2,091,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,733 : 967,636 = 967,636 : x
  2. Step 2: Convert to fraction form
    447,733/967,636 = 967,636/x
  3. Step 3: Cross multiply
    447,733x = 967,636 × 967,636
  4. Step 4: Simplify right side
    447,733x = 936,319,428,496
  5. Step 5: Solve for x
    x = 936,319,428,496/447,733
  6. Step 6: Final answer
    x = 2,091,245.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.