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Finding the Third Proportional to 2,098,571 and 4,518,214

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Solution

The third proportional to 2,098,571 and 4,518,214 is: 9,727,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,571 : 4,518,214 = 4,518,214 : x
  2. Step 2: Convert to fraction form
    2,098,571/4,518,214 = 4,518,214/x
  3. Step 3: Cross multiply
    2,098,571x = 4,518,214 × 4,518,214
  4. Step 4: Simplify right side
    2,098,571x = 20,414,257,749,796
  5. Step 5: Solve for x
    x = 20,414,257,749,796/2,098,571
  6. Step 6: Final answer
    x = 9,727,694.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.