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Finding the Third Proportional to 728,164 and 1,548,182

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Solution

The third proportional to 728,164 and 1,548,182 is: 3,291,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,164 : 1,548,182 = 1,548,182 : x
  2. Step 2: Convert to fraction form
    728,164/1,548,182 = 1,548,182/x
  3. Step 3: Cross multiply
    728,164x = 1,548,182 × 1,548,182
  4. Step 4: Simplify right side
    728,164x = 2,396,867,505,124
  5. Step 5: Solve for x
    x = 2,396,867,505,124/728,164
  6. Step 6: Final answer
    x = 3,291,658.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.