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Finding the Third Proportional to 3,743,674 and 5,922,822

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Solution

The third proportional to 3,743,674 and 5,922,822 is: 9,370,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743,674 : 5,922,822 = 5,922,822 : x
  2. Step 2: Convert to fraction form
    3,743,674/5,922,822 = 5,922,822/x
  3. Step 3: Cross multiply
    3,743,674x = 5,922,822 × 5,922,822
  4. Step 4: Simplify right side
    3,743,674x = 35,079,820,443,684
  5. Step 5: Solve for x
    x = 35,079,820,443,684/3,743,674
  6. Step 6: Final answer
    x = 9,370,426.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.