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Finding the Third Proportional to 448,912 and 967,788

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Solution

The third proportional to 448,912 and 967,788 is: 2,086,408.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,912 : 967,788 = 967,788 : x
  2. Step 2: Convert to fraction form
    448,912/967,788 = 967,788/x
  3. Step 3: Cross multiply
    448,912x = 967,788 × 967,788
  4. Step 4: Simplify right side
    448,912x = 936,613,612,944
  5. Step 5: Solve for x
    x = 936,613,612,944/448,912
  6. Step 6: Final answer
    x = 2,086,408.06

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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.