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Finding the Third Proportional to 698,448 and 1,498,848

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Solution

The third proportional to 698,448 and 1,498,848 is: 3,216,481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,448 : 1,498,848 = 1,498,848 : x
  2. Step 2: Convert to fraction form
    698,448/1,498,848 = 1,498,848/x
  3. Step 3: Cross multiply
    698,448x = 1,498,848 × 1,498,848
  4. Step 4: Simplify right side
    698,448x = 2,246,545,327,104
  5. Step 5: Solve for x
    x = 2,246,545,327,104/698,448
  6. Step 6: Final answer
    x = 3,216,481.87

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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.