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Finding the Third Proportional to 755,857 and 1,659,146

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Solution

The third proportional to 755,857 and 1,659,146 is: 3,641,913.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,857 : 1,659,146 = 1,659,146 : x
  2. Step 2: Convert to fraction form
    755,857/1,659,146 = 1,659,146/x
  3. Step 3: Cross multiply
    755,857x = 1,659,146 × 1,659,146
  4. Step 4: Simplify right side
    755,857x = 2,752,765,449,316
  5. Step 5: Solve for x
    x = 2,752,765,449,316/755,857
  6. Step 6: Final answer
    x = 3,641,913.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.