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Finding the Third Proportional to 561,426.82 and 1,147,226.73

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Solution

The third proportional to 561,426.82 and 1,147,226.73 is: 2,344,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,426.82 : 1,147,226.73 = 1,147,226.73 : x
  2. Step 2: Convert to fraction form
    561,426.82/1,147,226.73 = 1,147,226.73/x
  3. Step 3: Cross multiply
    561,426.82x = 1,147,226.73 × 1,147,226.73
  4. Step 4: Simplify right side
    561,426.82x = 1,316,129,171,101.90
  5. Step 5: Solve for x
    x = 1,316,129,171,101.90/561,426.82
  6. Step 6: Final answer
    x = 2,344,257.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.