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Finding the Third Proportional to 757,403 and 1,659,655

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Solution

The third proportional to 757,403 and 1,659,655 is: 3,636,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,403 : 1,659,655 = 1,659,655 : x
  2. Step 2: Convert to fraction form
    757,403/1,659,655 = 1,659,655/x
  3. Step 3: Cross multiply
    757,403x = 1,659,655 × 1,659,655
  4. Step 4: Simplify right side
    757,403x = 2,754,454,719,025
  5. Step 5: Solve for x
    x = 2,754,454,719,025/757,403
  6. Step 6: Final answer
    x = 3,636,709.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.