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Finding the Third Proportional to 540,235 and 1,172,041

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Solution

The third proportional to 540,235 and 1,172,041 is: 2,542,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,235 : 1,172,041 = 1,172,041 : x
  2. Step 2: Convert to fraction form
    540,235/1,172,041 = 1,172,041/x
  3. Step 3: Cross multiply
    540,235x = 1,172,041 × 1,172,041
  4. Step 4: Simplify right side
    540,235x = 1,373,680,105,681
  5. Step 5: Solve for x
    x = 1,373,680,105,681/540,235
  6. Step 6: Final answer
    x = 2,542,745.48

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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.