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Finding the Third Proportional to 3,831,256 and 5,762,974

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Solution

The third proportional to 3,831,256 and 5,762,974 is: 8,668,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831,256 : 5,762,974 = 5,762,974 : x
  2. Step 2: Convert to fraction form
    3,831,256/5,762,974 = 5,762,974/x
  3. Step 3: Cross multiply
    3,831,256x = 5,762,974 × 5,762,974
  4. Step 4: Simplify right side
    3,831,256x = 33,211,869,324,676
  5. Step 5: Solve for x
    x = 33,211,869,324,676/3,831,256
  6. Step 6: Final answer
    x = 8,668,663.57

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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.