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Finding the Third Proportional to 2,265,461 and 3,431,096

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Solution

The third proportional to 2,265,461 and 3,431,096 is: 5,196,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265,461 : 3,431,096 = 3,431,096 : x
  2. Step 2: Convert to fraction form
    2,265,461/3,431,096 = 3,431,096/x
  3. Step 3: Cross multiply
    2,265,461x = 3,431,096 × 3,431,096
  4. Step 4: Simplify right side
    2,265,461x = 11,772,419,761,216
  5. Step 5: Solve for x
    x = 11,772,419,761,216/2,265,461
  6. Step 6: Final answer
    x = 5,196,478.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.