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Finding the Third Proportional to 664,175.63 and 1,375,611.38

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Solution

The third proportional to 664,175.63 and 1,375,611.38 is: 2,849,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,175.63 : 1,375,611.38 = 1,375,611.38 : x
  2. Step 2: Convert to fraction form
    664,175.63/1,375,611.38 = 1,375,611.38/x
  3. Step 3: Cross multiply
    664,175.63x = 1,375,611.38 × 1,375,611.38
  4. Step 4: Simplify right side
    664,175.63x = 1,892,306,655,029.39
  5. Step 5: Solve for x
    x = 1,892,306,655,029.39/664,175.63
  6. Step 6: Final answer
    x = 2,849,105.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.