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Finding the Third Proportional to 3,782,548 and 5,674,632

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Solution

The third proportional to 3,782,548 and 5,674,632 is: 8,513,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,548 : 5,674,632 = 5,674,632 : x
  2. Step 2: Convert to fraction form
    3,782,548/5,674,632 = 5,674,632/x
  3. Step 3: Cross multiply
    3,782,548x = 5,674,632 × 5,674,632
  4. Step 4: Simplify right side
    3,782,548x = 32,201,448,335,424
  5. Step 5: Solve for x
    x = 32,201,448,335,424/3,782,548
  6. Step 6: Final answer
    x = 8,513,163.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.