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Finding the Third Proportional to 448,918 and 967,800

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Solution

The third proportional to 448,918 and 967,800 is: 2,086,431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,918 : 967,800 = 967,800 : x
  2. Step 2: Convert to fraction form
    448,918/967,800 = 967,800/x
  3. Step 3: Cross multiply
    448,918x = 967,800 × 967,800
  4. Step 4: Simplify right side
    448,918x = 936,636,840,000
  5. Step 5: Solve for x
    x = 936,636,840,000/448,918
  6. Step 6: Final answer
    x = 2,086,431.91

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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.