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Finding the Third Proportional to 723,917 and 1,093,295

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Solution

The third proportional to 723,917 and 1,093,295 is: 1,651,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,917 : 1,093,295 = 1,093,295 : x
  2. Step 2: Convert to fraction form
    723,917/1,093,295 = 1,093,295/x
  3. Step 3: Cross multiply
    723,917x = 1,093,295 × 1,093,295
  4. Step 4: Simplify right side
    723,917x = 1,195,293,957,025
  5. Step 5: Solve for x
    x = 1,195,293,957,025/723,917
  6. Step 6: Final answer
    x = 1,651,147.79

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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.