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Finding the Third Proportional to 693,496 and 1,441,976

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Solution

The third proportional to 693,496 and 1,441,976 is: 2,998,279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,496 : 1,441,976 = 1,441,976 : x
  2. Step 2: Convert to fraction form
    693,496/1,441,976 = 1,441,976/x
  3. Step 3: Cross multiply
    693,496x = 1,441,976 × 1,441,976
  4. Step 4: Simplify right side
    693,496x = 2,079,294,784,576
  5. Step 5: Solve for x
    x = 2,079,294,784,576/693,496
  6. Step 6: Final answer
    x = 2,998,279.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.