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Finding the Third Proportional to 728,156 and 1,092,234

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Solution

The third proportional to 728,156 and 1,092,234 is: 1,638,351

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,156 : 1,092,234 = 1,092,234 : x
  2. Step 2: Convert to fraction form
    728,156/1,092,234 = 1,092,234/x
  3. Step 3: Cross multiply
    728,156x = 1,092,234 × 1,092,234
  4. Step 4: Simplify right side
    728,156x = 1,192,975,110,756
  5. Step 5: Solve for x
    x = 1,192,975,110,756/728,156
  6. Step 6: Final answer
    x = 1,638,351

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.