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Finding the Third Proportional to 444,738 and 978,042

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Solution

The third proportional to 444,738 and 978,042 is: 2,150,853.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,738 : 978,042 = 978,042 : x
  2. Step 2: Convert to fraction form
    444,738/978,042 = 978,042/x
  3. Step 3: Cross multiply
    444,738x = 978,042 × 978,042
  4. Step 4: Simplify right side
    444,738x = 956,566,153,764
  5. Step 5: Solve for x
    x = 956,566,153,764/444,738
  6. Step 6: Final answer
    x = 2,150,853.21

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Why These Related Problems?

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