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Finding the Third Proportional to 1,744,909 and 3,648,739

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Solution

The third proportional to 1,744,909 and 3,648,739 is: 7,629,794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,909 : 3,648,739 = 3,648,739 : x
  2. Step 2: Convert to fraction form
    1,744,909/3,648,739 = 3,648,739/x
  3. Step 3: Cross multiply
    1,744,909x = 3,648,739 × 3,648,739
  4. Step 4: Simplify right side
    1,744,909x = 13,313,296,290,121
  5. Step 5: Solve for x
    x = 13,313,296,290,121/1,744,909
  6. Step 6: Final answer
    x = 7,629,794.04

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.