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Finding the Third Proportional to 442,759 and 978,548

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Solution

The third proportional to 442,759 and 978,548 is: 2,162,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,759 : 978,548 = 978,548 : x
  2. Step 2: Convert to fraction form
    442,759/978,548 = 978,548/x
  3. Step 3: Cross multiply
    442,759x = 978,548 × 978,548
  4. Step 4: Simplify right side
    442,759x = 957,556,188,304
  5. Step 5: Solve for x
    x = 957,556,188,304/442,759
  6. Step 6: Final answer
    x = 2,162,702.93

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Why These Related Problems?

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