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Finding the Third Proportional to 661,709.25 and 1,431,672.75

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Solution

The third proportional to 661,709.25 and 1,431,672.75 is: 3,097,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,709.25 : 1,431,672.75 = 1,431,672.75 : x
  2. Step 2: Convert to fraction form
    661,709.25/1,431,672.75 = 1,431,672.75/x
  3. Step 3: Cross multiply
    661,709.25x = 1,431,672.75 × 1,431,672.75
  4. Step 4: Simplify right side
    661,709.25x = 2,049,686,863,092.56
  5. Step 5: Solve for x
    x = 2,049,686,863,092.56/661,709.25
  6. Step 6: Final answer
    x = 3,097,564.17

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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.