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Finding the Third Proportional to 444,740.63 and 978,044.63

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Solution

The third proportional to 444,740.63 and 978,044.63 is: 2,150,852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,740.63 : 978,044.63 = 978,044.63 : x
  2. Step 2: Convert to fraction form
    444,740.63/978,044.63 = 978,044.63/x
  3. Step 3: Cross multiply
    444,740.63x = 978,044.63 × 978,044.63
  4. Step 4: Simplify right side
    444,740.63x = 956,571,288,491.39
  5. Step 5: Solve for x
    x = 956,571,288,491.39/444,740.63
  6. Step 6: Final answer
    x = 2,150,852.06

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