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Finding the Third Proportional to 542,406.38 and 1,099,575

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Solution

The third proportional to 542,406.38 and 1,099,575 is: 2,229,076.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,406.38 : 1,099,575 = 1,099,575 : x
  2. Step 2: Convert to fraction form
    542,406.38/1,099,575 = 1,099,575/x
  3. Step 3: Cross multiply
    542,406.38x = 1,099,575 × 1,099,575
  4. Step 4: Simplify right side
    542,406.38x = 1,209,065,180,625
  5. Step 5: Solve for x
    x = 1,209,065,180,625/542,406.38
  6. Step 6: Final answer
    x = 2,229,076.27

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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.