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Finding the Third Proportional to 3,976,571.81 and 6,080,411.81

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Solution

The third proportional to 3,976,571.81 and 6,080,411.81 is: 9,297,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976,571.81 : 6,080,411.81 = 6,080,411.81 : x
  2. Step 2: Convert to fraction form
    3,976,571.81/6,080,411.81 = 6,080,411.81/x
  3. Step 3: Cross multiply
    3,976,571.81x = 6,080,411.81 × 6,080,411.81
  4. Step 4: Simplify right side
    3,976,571.81x = 36,971,407,809,589.53
  5. Step 5: Solve for x
    x = 36,971,407,809,589.53/3,976,571.81
  6. Step 6: Final answer
    x = 9,297,306.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.