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Finding the Third Proportional to 601,942 and 1,253,707

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Solution

The third proportional to 601,942 and 1,253,707 is: 2,611,183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,942 : 1,253,707 = 1,253,707 : x
  2. Step 2: Convert to fraction form
    601,942/1,253,707 = 1,253,707/x
  3. Step 3: Cross multiply
    601,942x = 1,253,707 × 1,253,707
  4. Step 4: Simplify right side
    601,942x = 1,571,781,241,849
  5. Step 5: Solve for x
    x = 1,571,781,241,849/601,942
  6. Step 6: Final answer
    x = 2,611,183.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.