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Finding the Third Proportional to 703,569 and 1,659,212

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Solution

The third proportional to 703,569 and 1,659,212 is: 3,912,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,569 : 1,659,212 = 1,659,212 : x
  2. Step 2: Convert to fraction form
    703,569/1,659,212 = 1,659,212/x
  3. Step 3: Cross multiply
    703,569x = 1,659,212 × 1,659,212
  4. Step 4: Simplify right side
    703,569x = 2,752,984,460,944
  5. Step 5: Solve for x
    x = 2,752,984,460,944/703,569
  6. Step 6: Final answer
    x = 3,912,884.82

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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.