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Finding the Third Proportional to 448,900 and 967,768

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Solution

The third proportional to 448,900 and 967,768 is: 2,086,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,900 : 967,768 = 967,768 : x
  2. Step 2: Convert to fraction form
    448,900/967,768 = 967,768/x
  3. Step 3: Cross multiply
    448,900x = 967,768 × 967,768
  4. Step 4: Simplify right side
    448,900x = 936,574,901,824
  5. Step 5: Solve for x
    x = 936,574,901,824/448,900
  6. Step 6: Final answer
    x = 2,086,377.59

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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.