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Finding the Third Proportional to 825,747.75 and 1,276,192.13

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Solution

The third proportional to 825,747.75 and 1,276,192.13 is: 1,972,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,747.75 : 1,276,192.13 = 1,276,192.13 : x
  2. Step 2: Convert to fraction form
    825,747.75/1,276,192.13 = 1,276,192.13/x
  3. Step 3: Cross multiply
    825,747.75x = 1,276,192.13 × 1,276,192.13
  4. Step 4: Simplify right side
    825,747.75x = 1,628,666,339,912.02
  5. Step 5: Solve for x
    x = 1,628,666,339,912.02/825,747.75
  6. Step 6: Final answer
    x = 1,972,353.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.