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Finding the Third Proportional to 448,416 and 967,680

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Solution

The third proportional to 448,416 and 967,680 is: 2,088,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,416 : 967,680 = 967,680 : x
  2. Step 2: Convert to fraction form
    448,416/967,680 = 967,680/x
  3. Step 3: Cross multiply
    448,416x = 967,680 × 967,680
  4. Step 4: Simplify right side
    448,416x = 936,404,582,400
  5. Step 5: Solve for x
    x = 936,404,582,400/448,416
  6. Step 6: Final answer
    x = 2,088,249.71

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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.