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Finding the Third Proportional to 541,561 and 1,173,425

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Solution

The third proportional to 541,561 and 1,173,425 is: 2,542,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,561 : 1,173,425 = 1,173,425 : x
  2. Step 2: Convert to fraction form
    541,561/1,173,425 = 1,173,425/x
  3. Step 3: Cross multiply
    541,561x = 1,173,425 × 1,173,425
  4. Step 4: Simplify right side
    541,561x = 1,376,926,230,625
  5. Step 5: Solve for x
    x = 1,376,926,230,625/541,561
  6. Step 6: Final answer
    x = 2,542,513.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.