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Finding the Third Proportional to 2,831,874 and 4,247,001

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Solution

The third proportional to 2,831,874 and 4,247,001 is: 6,369,286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831,874 : 4,247,001 = 4,247,001 : x
  2. Step 2: Convert to fraction form
    2,831,874/4,247,001 = 4,247,001/x
  3. Step 3: Cross multiply
    2,831,874x = 4,247,001 × 4,247,001
  4. Step 4: Simplify right side
    2,831,874x = 18,037,017,494,001
  5. Step 5: Solve for x
    x = 18,037,017,494,001/2,831,874
  6. Step 6: Final answer
    x = 6,369,286.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.