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Finding the Third Proportional to 671,693 and 1,419,193

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Solution

The third proportional to 671,693 and 1,419,193 is: 2,998,555.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,693 : 1,419,193 = 1,419,193 : x
  2. Step 2: Convert to fraction form
    671,693/1,419,193 = 1,419,193/x
  3. Step 3: Cross multiply
    671,693x = 1,419,193 × 1,419,193
  4. Step 4: Simplify right side
    671,693x = 2,014,108,771,249
  5. Step 5: Solve for x
    x = 2,014,108,771,249/671,693
  6. Step 6: Final answer
    x = 2,998,555.55

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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.