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Finding the Third Proportional to 444,381.19 and 984,853.69

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Solution

The third proportional to 444,381.19 and 984,853.69 is: 2,182,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,381.19 : 984,853.69 = 984,853.69 : x
  2. Step 2: Convert to fraction form
    444,381.19/984,853.69 = 984,853.69/x
  3. Step 3: Cross multiply
    444,381.19x = 984,853.69 × 984,853.69
  4. Step 4: Simplify right side
    444,381.19x = 969,936,785,782.35
  5. Step 5: Solve for x
    x = 969,936,785,782.35/444,381.19
  6. Step 6: Final answer
    x = 2,182,668.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.