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Finding the Third Proportional to 447,968 and 967,192

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Solution

The third proportional to 447,968 and 967,192 is: 2,088,230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,968 : 967,192 = 967,192 : x
  2. Step 2: Convert to fraction form
    447,968/967,192 = 967,192/x
  3. Step 3: Cross multiply
    447,968x = 967,192 × 967,192
  4. Step 4: Simplify right side
    447,968x = 935,460,364,864
  5. Step 5: Solve for x
    x = 935,460,364,864/447,968
  6. Step 6: Final answer
    x = 2,088,230.33

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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.