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Finding the Third Proportional to 779,910.75 and 1,687,758.75

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Solution

The third proportional to 779,910.75 and 1,687,758.75 is: 3,652,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,910.75 : 1,687,758.75 = 1,687,758.75 : x
  2. Step 2: Convert to fraction form
    779,910.75/1,687,758.75 = 1,687,758.75/x
  3. Step 3: Cross multiply
    779,910.75x = 1,687,758.75 × 1,687,758.75
  4. Step 4: Simplify right side
    779,910.75x = 2,848,529,598,201.56
  5. Step 5: Solve for x
    x = 2,848,529,598,201.56/779,910.75
  6. Step 6: Final answer
    x = 3,652,378.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.