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Finding the Third Proportional to 448,418 and 967,684

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Solution

The third proportional to 448,418 and 967,684 is: 2,088,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,418 : 967,684 = 967,684 : x
  2. Step 2: Convert to fraction form
    448,418/967,684 = 967,684/x
  3. Step 3: Cross multiply
    448,418x = 967,684 × 967,684
  4. Step 4: Simplify right side
    448,418x = 936,412,323,856
  5. Step 5: Solve for x
    x = 936,412,323,856/448,418
  6. Step 6: Final answer
    x = 2,088,257.66

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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.