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Finding the Third Proportional to 703,636 and 1,659,377

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Solution

The third proportional to 703,636 and 1,659,377 is: 3,913,290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,636 : 1,659,377 = 1,659,377 : x
  2. Step 2: Convert to fraction form
    703,636/1,659,377 = 1,659,377/x
  3. Step 3: Cross multiply
    703,636x = 1,659,377 × 1,659,377
  4. Step 4: Simplify right side
    703,636x = 2,753,532,028,129
  5. Step 5: Solve for x
    x = 2,753,532,028,129/703,636
  6. Step 6: Final answer
    x = 3,913,290.43

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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.