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Finding the Third Proportional to 3,203,559 and 6,814,062

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Solution

The third proportional to 3,203,559 and 6,814,062 is: 14,493,705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203,559 : 6,814,062 = 6,814,062 : x
  2. Step 2: Convert to fraction form
    3,203,559/6,814,062 = 6,814,062/x
  3. Step 3: Cross multiply
    3,203,559x = 6,814,062 × 6,814,062
  4. Step 4: Simplify right side
    3,203,559x = 46,431,440,939,844
  5. Step 5: Solve for x
    x = 46,431,440,939,844/3,203,559
  6. Step 6: Final answer
    x = 14,493,705.58

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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.