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Finding the Third Proportional to 2,047,743 and 4,468,734

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Solution

The third proportional to 2,047,743 and 4,468,734 is: 9,751,996.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,743 : 4,468,734 = 4,468,734 : x
  2. Step 2: Convert to fraction form
    2,047,743/4,468,734 = 4,468,734/x
  3. Step 3: Cross multiply
    2,047,743x = 4,468,734 × 4,468,734
  4. Step 4: Simplify right side
    2,047,743x = 19,969,583,562,756
  5. Step 5: Solve for x
    x = 19,969,583,562,756/2,047,743
  6. Step 6: Final answer
    x = 9,751,996.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.