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Finding the Third Proportional to 2,203,965 and 3,405,687

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Solution

The third proportional to 2,203,965 and 3,405,687 is: 5,262,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203,965 : 3,405,687 = 3,405,687 : x
  2. Step 2: Convert to fraction form
    2,203,965/3,405,687 = 3,405,687/x
  3. Step 3: Cross multiply
    2,203,965x = 3,405,687 × 3,405,687
  4. Step 4: Simplify right side
    2,203,965x = 11,598,703,941,969
  5. Step 5: Solve for x
    x = 11,598,703,941,969/2,203,965
  6. Step 6: Final answer
    x = 5,262,653.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.