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Finding the Third Proportional to 443,935 and 978,357

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Solution

The third proportional to 443,935 and 978,357 is: 2,156,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,935 : 978,357 = 978,357 : x
  2. Step 2: Convert to fraction form
    443,935/978,357 = 978,357/x
  3. Step 3: Cross multiply
    443,935x = 978,357 × 978,357
  4. Step 4: Simplify right side
    443,935x = 957,182,419,449
  5. Step 5: Solve for x
    x = 957,182,419,449/443,935
  6. Step 6: Final answer
    x = 2,156,131.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.