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Finding the Third Proportional to 771,231 and 1,660,857

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Solution

The third proportional to 771,231 and 1,660,857 is: 3,576,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,231 : 1,660,857 = 1,660,857 : x
  2. Step 2: Convert to fraction form
    771,231/1,660,857 = 1,660,857/x
  3. Step 3: Cross multiply
    771,231x = 1,660,857 × 1,660,857
  4. Step 4: Simplify right side
    771,231x = 2,758,445,974,449
  5. Step 5: Solve for x
    x = 2,758,445,974,449/771,231
  6. Step 6: Final answer
    x = 3,576,679.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.