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Finding the Third Proportional to 585,672.75 and 1,187,646.75

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Solution

The third proportional to 585,672.75 and 1,187,646.75 is: 2,408,349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,672.75 : 1,187,646.75 = 1,187,646.75 : x
  2. Step 2: Convert to fraction form
    585,672.75/1,187,646.75 = 1,187,646.75/x
  3. Step 3: Cross multiply
    585,672.75x = 1,187,646.75 × 1,187,646.75
  4. Step 4: Simplify right side
    585,672.75x = 1,410,504,802,785.56
  5. Step 5: Solve for x
    x = 1,410,504,802,785.56/585,672.75
  6. Step 6: Final answer
    x = 2,408,349.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.