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Finding the Third Proportional to 755,286.75 and 1,643,382

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Solution

The third proportional to 755,286.75 and 1,643,382 is: 3,575,733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,286.75 : 1,643,382 = 1,643,382 : x
  2. Step 2: Convert to fraction form
    755,286.75/1,643,382 = 1,643,382/x
  3. Step 3: Cross multiply
    755,286.75x = 1,643,382 × 1,643,382
  4. Step 4: Simplify right side
    755,286.75x = 2,700,704,397,924
  5. Step 5: Solve for x
    x = 2,700,704,397,924/755,286.75
  6. Step 6: Final answer
    x = 3,575,733.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.