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Finding the Third Proportional to 729,496 and 1,091,324

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Solution

The third proportional to 729,496 and 1,091,324 is: 1,632,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,496 : 1,091,324 = 1,091,324 : x
  2. Step 2: Convert to fraction form
    729,496/1,091,324 = 1,091,324/x
  3. Step 3: Cross multiply
    729,496x = 1,091,324 × 1,091,324
  4. Step 4: Simplify right side
    729,496x = 1,190,988,072,976
  5. Step 5: Solve for x
    x = 1,190,988,072,976/729,496
  6. Step 6: Final answer
    x = 1,632,617.69

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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.