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Finding the Third Proportional to 725,682 and 1,088,796.75

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Solution

The third proportional to 725,682 and 1,088,796.75 is: 1,633,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,682 : 1,088,796.75 = 1,088,796.75 : x
  2. Step 2: Convert to fraction form
    725,682/1,088,796.75 = 1,088,796.75/x
  3. Step 3: Cross multiply
    725,682x = 1,088,796.75 × 1,088,796.75
  4. Step 4: Simplify right side
    725,682x = 1,185,478,362,810.56
  5. Step 5: Solve for x
    x = 1,185,478,362,810.56/725,682
  6. Step 6: Final answer
    x = 1,633,605.85

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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.