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Finding the Third Proportional to 1,624,512 and 3,744,096

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Solution

The third proportional to 1,624,512 and 3,744,096 is: 8,629,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624,512 : 3,744,096 = 3,744,096 : x
  2. Step 2: Convert to fraction form
    1,624,512/3,744,096 = 3,744,096/x
  3. Step 3: Cross multiply
    1,624,512x = 3,744,096 × 3,744,096
  4. Step 4: Simplify right side
    1,624,512x = 14,018,254,857,216
  5. Step 5: Solve for x
    x = 14,018,254,857,216/1,624,512
  6. Step 6: Final answer
    x = 8,629,209.79

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.