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Finding the Third Proportional to 944,022.75 and 1,451,871.38

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Solution

The third proportional to 944,022.75 and 1,451,871.38 is: 2,232,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,022.75 : 1,451,871.38 = 1,451,871.38 : x
  2. Step 2: Convert to fraction form
    944,022.75/1,451,871.38 = 1,451,871.38/x
  3. Step 3: Cross multiply
    944,022.75x = 1,451,871.38 × 1,451,871.38
  4. Step 4: Simplify right side
    944,022.75x = 2,107,930,489,544.39
  5. Step 5: Solve for x
    x = 2,107,930,489,544.39/944,022.75
  6. Step 6: Final answer
    x = 2,232,923.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.