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Finding the Third Proportional to 415,614 and 894,800

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Solution

The third proportional to 415,614 and 894,800 is: 1,926,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,614 : 894,800 = 894,800 : x
  2. Step 2: Convert to fraction form
    415,614/894,800 = 894,800/x
  3. Step 3: Cross multiply
    415,614x = 894,800 × 894,800
  4. Step 4: Simplify right side
    415,614x = 800,667,040,000
  5. Step 5: Solve for x
    x = 800,667,040,000/415,614
  6. Step 6: Final answer
    x = 1,926,467.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.