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Finding the Third Proportional to 3,831,538 and 5,714,096

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Solution

The third proportional to 3,831,538 and 5,714,096 is: 8,521,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831,538 : 5,714,096 = 5,714,096 : x
  2. Step 2: Convert to fraction form
    3,831,538/5,714,096 = 5,714,096/x
  3. Step 3: Cross multiply
    3,831,538x = 5,714,096 × 5,714,096
  4. Step 4: Simplify right side
    3,831,538x = 32,650,893,097,216
  5. Step 5: Solve for x
    x = 32,650,893,097,216/3,831,538
  6. Step 6: Final answer
    x = 8,521,615.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.