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Finding the Third Proportional to 612,219 and 1,324,167

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Solution

The third proportional to 612,219 and 1,324,167 is: 2,864,037.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,219 : 1,324,167 = 1,324,167 : x
  2. Step 2: Convert to fraction form
    612,219/1,324,167 = 1,324,167/x
  3. Step 3: Cross multiply
    612,219x = 1,324,167 × 1,324,167
  4. Step 4: Simplify right side
    612,219x = 1,753,418,243,889
  5. Step 5: Solve for x
    x = 1,753,418,243,889/612,219
  6. Step 6: Final answer
    x = 2,864,037.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.