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Finding the Third Proportional to 766,222.88 and 1,611,843.75

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Solution

The third proportional to 766,222.88 and 1,611,843.75 is: 3,390,710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,222.88 : 1,611,843.75 = 1,611,843.75 : x
  2. Step 2: Convert to fraction form
    766,222.88/1,611,843.75 = 1,611,843.75/x
  3. Step 3: Cross multiply
    766,222.88x = 1,611,843.75 × 1,611,843.75
  4. Step 4: Simplify right side
    766,222.88x = 2,598,040,274,414.06
  5. Step 5: Solve for x
    x = 2,598,040,274,414.06/766,222.88
  6. Step 6: Final answer
    x = 3,390,710.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.