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Finding the Third Proportional to 727,509 and 1,101,324

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Solution

The third proportional to 727,509 and 1,101,324 is: 1,667,215.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,509 : 1,101,324 = 1,101,324 : x
  2. Step 2: Convert to fraction form
    727,509/1,101,324 = 1,101,324/x
  3. Step 3: Cross multiply
    727,509x = 1,101,324 × 1,101,324
  4. Step 4: Simplify right side
    727,509x = 1,212,914,552,976
  5. Step 5: Solve for x
    x = 1,212,914,552,976/727,509
  6. Step 6: Final answer
    x = 1,667,215.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.