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Finding the Third Proportional to 1,224,728 and 2,659,408

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Solution

The third proportional to 1,224,728 and 2,659,408 is: 5,774,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224,728 : 2,659,408 = 2,659,408 : x
  2. Step 2: Convert to fraction form
    1,224,728/2,659,408 = 2,659,408/x
  3. Step 3: Cross multiply
    1,224,728x = 2,659,408 × 2,659,408
  4. Step 4: Simplify right side
    1,224,728x = 7,072,450,910,464
  5. Step 5: Solve for x
    x = 7,072,450,910,464/1,224,728
  6. Step 6: Final answer
    x = 5,774,711.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.