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Finding the Third Proportional to 444,828.38 and 970,154.44

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Solution

The third proportional to 444,828.38 and 970,154.44 is: 2,115,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,828.38 : 970,154.44 = 970,154.44 : x
  2. Step 2: Convert to fraction form
    444,828.38/970,154.44 = 970,154.44/x
  3. Step 3: Cross multiply
    444,828.38x = 970,154.44 × 970,154.44
  4. Step 4: Simplify right side
    444,828.38x = 941,199,632,600.94
  5. Step 5: Solve for x
    x = 941,199,632,600.94/444,828.38
  6. Step 6: Final answer
    x = 2,115,871.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.