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Finding the Third Proportional to 728,158 and 1,092,237

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Solution

The third proportional to 728,158 and 1,092,237 is: 1,638,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,158 : 1,092,237 = 1,092,237 : x
  2. Step 2: Convert to fraction form
    728,158/1,092,237 = 1,092,237/x
  3. Step 3: Cross multiply
    728,158x = 1,092,237 × 1,092,237
  4. Step 4: Simplify right side
    728,158x = 1,192,981,664,169
  5. Step 5: Solve for x
    x = 1,192,981,664,169/728,158
  6. Step 6: Final answer
    x = 1,638,355.50

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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.