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Finding the Third Proportional to 713,673 and 972,067

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Solution

The third proportional to 713,673 and 972,067 is: 1,324,015.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,673 : 972,067 = 972,067 : x
  2. Step 2: Convert to fraction form
    713,673/972,067 = 972,067/x
  3. Step 3: Cross multiply
    713,673x = 972,067 × 972,067
  4. Step 4: Simplify right side
    713,673x = 944,914,252,489
  5. Step 5: Solve for x
    x = 944,914,252,489/713,673
  6. Step 6: Final answer
    x = 1,324,015.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.