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Finding the Third Proportional to 728,979.75 and 1,026,108

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Solution

The third proportional to 728,979.75 and 1,026,108 is: 1,444,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,979.75 : 1,026,108 = 1,026,108 : x
  2. Step 2: Convert to fraction form
    728,979.75/1,026,108 = 1,026,108/x
  3. Step 3: Cross multiply
    728,979.75x = 1,026,108 × 1,026,108
  4. Step 4: Simplify right side
    728,979.75x = 1,052,897,627,664
  5. Step 5: Solve for x
    x = 1,052,897,627,664/728,979.75
  6. Step 6: Final answer
    x = 1,444,344.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.