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Finding the Third Proportional to 698,452 and 1,498,856

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Solution

The third proportional to 698,452 and 1,498,856 is: 3,216,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,452 : 1,498,856 = 1,498,856 : x
  2. Step 2: Convert to fraction form
    698,452/1,498,856 = 1,498,856/x
  3. Step 3: Cross multiply
    698,452x = 1,498,856 × 1,498,856
  4. Step 4: Simplify right side
    698,452x = 2,246,569,308,736
  5. Step 5: Solve for x
    x = 2,246,569,308,736/698,452
  6. Step 6: Final answer
    x = 3,216,497.78

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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.