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Finding the Third Proportional to 3,203,554 and 6,814,052

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Solution

The third proportional to 3,203,554 and 6,814,052 is: 14,493,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203,554 : 6,814,052 = 6,814,052 : x
  2. Step 2: Convert to fraction form
    3,203,554/6,814,052 = 6,814,052/x
  3. Step 3: Cross multiply
    3,203,554x = 6,814,052 × 6,814,052
  4. Step 4: Simplify right side
    3,203,554x = 46,431,304,658,704
  5. Step 5: Solve for x
    x = 46,431,304,658,704/3,203,554
  6. Step 6: Final answer
    x = 14,493,685.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.