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Finding the Third Proportional to 4,096,962 and 5,901,811

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Solution

The third proportional to 4,096,962 and 5,901,811 is: 8,501,756.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096,962 : 5,901,811 = 5,901,811 : x
  2. Step 2: Convert to fraction form
    4,096,962/5,901,811 = 5,901,811/x
  3. Step 3: Cross multiply
    4,096,962x = 5,901,811 × 5,901,811
  4. Step 4: Simplify right side
    4,096,962x = 34,831,373,079,721
  5. Step 5: Solve for x
    x = 34,831,373,079,721/4,096,962
  6. Step 6: Final answer
    x = 8,501,756.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.