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Finding the Third Proportional to 444,086 and 963,052

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Solution

The third proportional to 444,086 and 963,052 is: 2,088,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,086 : 963,052 = 963,052 : x
  2. Step 2: Convert to fraction form
    444,086/963,052 = 963,052/x
  3. Step 3: Cross multiply
    444,086x = 963,052 × 963,052
  4. Step 4: Simplify right side
    444,086x = 927,469,154,704
  5. Step 5: Solve for x
    x = 927,469,154,704/444,086
  6. Step 6: Final answer
    x = 2,088,489.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.