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Finding the Third Proportional to 450,568 and 967,696

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Solution

The third proportional to 450,568 and 967,696 is: 2,078,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,568 : 967,696 = 967,696 : x
  2. Step 2: Convert to fraction form
    450,568/967,696 = 967,696/x
  3. Step 3: Cross multiply
    450,568x = 967,696 × 967,696
  4. Step 4: Simplify right side
    450,568x = 936,435,548,416
  5. Step 5: Solve for x
    x = 936,435,548,416/450,568
  6. Step 6: Final answer
    x = 2,078,344.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.