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Finding the Third Proportional to 608,451,636 and 1,328,400,744

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Solution

The third proportional to 608,451,636 and 1,328,400,744 is: 2,900,228,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,451,636 : 1,328,400,744 = 1,328,400,744 : x
  2. Step 2: Convert to fraction form
    608,451,636/1,328,400,744 = 1,328,400,744/x
  3. Step 3: Cross multiply
    608,451,636x = 1,328,400,744 × 1,328,400,744
  4. Step 4: Simplify right side
    608,451,636x = 1,764,648,536,659,753,472
  5. Step 5: Solve for x
    x = 1,764,648,536,659,753,472/608,451,636
  6. Step 6: Final answer
    x = 2,900,228,107.30

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