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Finding the Third Proportional to 414,289 and 897,698

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Solution

The third proportional to 414,289 and 897,698 is: 1,945,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,289 : 897,698 = 897,698 : x
  2. Step 2: Convert to fraction form
    414,289/897,698 = 897,698/x
  3. Step 3: Cross multiply
    414,289x = 897,698 × 897,698
  4. Step 4: Simplify right side
    414,289x = 805,861,699,204
  5. Step 5: Solve for x
    x = 805,861,699,204/414,289
  6. Step 6: Final answer
    x = 1,945,167.98

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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.