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Finding the Third Proportional to 448,804 and 967,592

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Solution

The third proportional to 448,804 and 967,592 is: 2,086,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,804 : 967,592 = 967,592 : x
  2. Step 2: Convert to fraction form
    448,804/967,592 = 967,592/x
  3. Step 3: Cross multiply
    448,804x = 967,592 × 967,592
  4. Step 4: Simplify right side
    448,804x = 936,234,278,464
  5. Step 5: Solve for x
    x = 936,234,278,464/448,804
  6. Step 6: Final answer
    x = 2,086,064.92

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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.