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Finding the Third Proportional to 524,672.44 and 1,086,645.38

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Solution

The third proportional to 524,672.44 and 1,086,645.38 is: 2,250,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,672.44 : 1,086,645.38 = 1,086,645.38 : x
  2. Step 2: Convert to fraction form
    524,672.44/1,086,645.38 = 1,086,645.38/x
  3. Step 3: Cross multiply
    524,672.44x = 1,086,645.38 × 1,086,645.38
  4. Step 4: Simplify right side
    524,672.44x = 1,180,798,171,008.89
  5. Step 5: Solve for x
    x = 1,180,798,171,008.89/524,672.44
  6. Step 6: Final answer
    x = 2,250,543.55

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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.