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Finding the Third Proportional to 703,573 and 1,659,220

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Solution

The third proportional to 703,573 and 1,659,220 is: 3,912,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,573 : 1,659,220 = 1,659,220 : x
  2. Step 2: Convert to fraction form
    703,573/1,659,220 = 1,659,220/x
  3. Step 3: Cross multiply
    703,573x = 1,659,220 × 1,659,220
  4. Step 4: Simplify right side
    703,573x = 2,753,011,008,400
  5. Step 5: Solve for x
    x = 2,753,011,008,400/703,573
  6. Step 6: Final answer
    x = 3,912,900.31

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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.