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Finding the Third Proportional to 448,601 and 980,794

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Solution

The third proportional to 448,601 and 980,794 is: 2,144,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,601 : 980,794 = 980,794 : x
  2. Step 2: Convert to fraction form
    448,601/980,794 = 980,794/x
  3. Step 3: Cross multiply
    448,601x = 980,794 × 980,794
  4. Step 4: Simplify right side
    448,601x = 961,956,870,436
  5. Step 5: Solve for x
    x = 961,956,870,436/448,601
  6. Step 6: Final answer
    x = 2,144,348.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.