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Finding the Third Proportional to 442,757 and 978,548

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Solution

The third proportional to 442,757 and 978,548 is: 2,162,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,757 : 978,548 = 978,548 : x
  2. Step 2: Convert to fraction form
    442,757/978,548 = 978,548/x
  3. Step 3: Cross multiply
    442,757x = 978,548 × 978,548
  4. Step 4: Simplify right side
    442,757x = 957,556,188,304
  5. Step 5: Solve for x
    x = 957,556,188,304/442,757
  6. Step 6: Final answer
    x = 2,162,712.70

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.