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Finding the Third Proportional to 447,732 and 967,634

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Solution

The third proportional to 447,732 and 967,634 is: 2,091,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,732 : 967,634 = 967,634 : x
  2. Step 2: Convert to fraction form
    447,732/967,634 = 967,634/x
  3. Step 3: Cross multiply
    447,732x = 967,634 × 967,634
  4. Step 4: Simplify right side
    447,732x = 936,315,557,956
  5. Step 5: Solve for x
    x = 936,315,557,956/447,732
  6. Step 6: Final answer
    x = 2,091,241.10

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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.