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Finding the Third Proportional to 545,416 and 1,189,975

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Solution

The third proportional to 545,416 and 1,189,975 is: 2,596,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,416 : 1,189,975 = 1,189,975 : x
  2. Step 2: Convert to fraction form
    545,416/1,189,975 = 1,189,975/x
  3. Step 3: Cross multiply
    545,416x = 1,189,975 × 1,189,975
  4. Step 4: Simplify right side
    545,416x = 1,416,040,500,625
  5. Step 5: Solve for x
    x = 1,416,040,500,625/545,416
  6. Step 6: Final answer
    x = 2,596,257.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.