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Finding the Third Proportional to 2,172,546 and 3,286,775

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Solution

The third proportional to 2,172,546 and 3,286,775 is: 4,972,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172,546 : 3,286,775 = 3,286,775 : x
  2. Step 2: Convert to fraction form
    2,172,546/3,286,775 = 3,286,775/x
  3. Step 3: Cross multiply
    2,172,546x = 3,286,775 × 3,286,775
  4. Step 4: Simplify right side
    2,172,546x = 10,802,889,900,625
  5. Step 5: Solve for x
    x = 10,802,889,900,625/2,172,546
  6. Step 6: Final answer
    x = 4,972,456.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.