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Finding the Third Proportional to 1,863,648 and 4,080,096

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Solution

The third proportional to 1,863,648 and 4,080,096 is: 8,932,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863,648 : 4,080,096 = 4,080,096 : x
  2. Step 2: Convert to fraction form
    1,863,648/4,080,096 = 4,080,096/x
  3. Step 3: Cross multiply
    1,863,648x = 4,080,096 × 4,080,096
  4. Step 4: Simplify right side
    1,863,648x = 16,647,183,369,216
  5. Step 5: Solve for x
    x = 16,647,183,369,216/1,863,648
  6. Step 6: Final answer
    x = 8,932,579.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.