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Finding the Third Proportional to 2,457,647 and 3,815,867

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Solution

The third proportional to 2,457,647 and 3,815,867 is: 5,924,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,647 : 3,815,867 = 3,815,867 : x
  2. Step 2: Convert to fraction form
    2,457,647/3,815,867 = 3,815,867/x
  3. Step 3: Cross multiply
    2,457,647x = 3,815,867 × 3,815,867
  4. Step 4: Simplify right side
    2,457,647x = 14,560,840,961,689
  5. Step 5: Solve for x
    x = 14,560,840,961,689/2,457,647
  6. Step 6: Final answer
    x = 5,924,708.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.