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Finding the Third Proportional to 1,462,286.88 and 3,155,781.73

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Solution

The third proportional to 1,462,286.88 and 3,155,781.73 is: 6,810,536.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,286.88 : 3,155,781.73 = 3,155,781.73 : x
  2. Step 2: Convert to fraction form
    1,462,286.88/3,155,781.73 = 3,155,781.73/x
  3. Step 3: Cross multiply
    1,462,286.88x = 3,155,781.73 × 3,155,781.73
  4. Step 4: Simplify right side
    1,462,286.88x = 9,958,958,347,310.99
  5. Step 5: Solve for x
    x = 9,958,958,347,310.99/1,462,286.88
  6. Step 6: Final answer
    x = 6,810,536.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.