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Finding the Third Proportional to 671,680 and 1,419,170

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Solution

The third proportional to 671,680 and 1,419,170 is: 2,998,516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,680 : 1,419,170 = 1,419,170 : x
  2. Step 2: Convert to fraction form
    671,680/1,419,170 = 1,419,170/x
  3. Step 3: Cross multiply
    671,680x = 1,419,170 × 1,419,170
  4. Step 4: Simplify right side
    671,680x = 2,014,043,488,900
  5. Step 5: Solve for x
    x = 2,014,043,488,900/671,680
  6. Step 6: Final answer
    x = 2,998,516.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.