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Finding the Third Proportional to 1,727,863 and 3,770,167

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Solution

The third proportional to 1,727,863 and 3,770,167 is: 8,226,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727,863 : 3,770,167 = 3,770,167 : x
  2. Step 2: Convert to fraction form
    1,727,863/3,770,167 = 3,770,167/x
  3. Step 3: Cross multiply
    1,727,863x = 3,770,167 × 3,770,167
  4. Step 4: Simplify right side
    1,727,863x = 14,214,159,207,889
  5. Step 5: Solve for x
    x = 14,214,159,207,889/1,727,863
  6. Step 6: Final answer
    x = 8,226,438.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.