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Finding the Third Proportional to 448,816 and 967,616

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Solution

The third proportional to 448,816 and 967,616 is: 2,086,112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,816 : 967,616 = 967,616 : x
  2. Step 2: Convert to fraction form
    448,816/967,616 = 967,616/x
  3. Step 3: Cross multiply
    448,816x = 967,616 × 967,616
  4. Step 4: Simplify right side
    448,816x = 936,280,723,456
  5. Step 5: Solve for x
    x = 936,280,723,456/448,816
  6. Step 6: Final answer
    x = 2,086,112.62

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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.