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Finding the Third Proportional to 703,603 and 1,659,295

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Solution

The third proportional to 703,603 and 1,659,295 is: 3,913,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,603 : 1,659,295 = 1,659,295 : x
  2. Step 2: Convert to fraction form
    703,603/1,659,295 = 1,659,295/x
  3. Step 3: Cross multiply
    703,603x = 1,659,295 × 1,659,295
  4. Step 4: Simplify right side
    703,603x = 2,753,259,897,025
  5. Step 5: Solve for x
    x = 2,753,259,897,025/703,603
  6. Step 6: Final answer
    x = 3,913,087.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.