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Finding the Third Proportional to 667,683 and 1,414,827

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Solution

The third proportional to 667,683 and 1,414,827 is: 2,998,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,683 : 1,414,827 = 1,414,827 : x
  2. Step 2: Convert to fraction form
    667,683/1,414,827 = 1,414,827/x
  3. Step 3: Cross multiply
    667,683x = 1,414,827 × 1,414,827
  4. Step 4: Simplify right side
    667,683x = 2,001,735,439,929
  5. Step 5: Solve for x
    x = 2,001,735,439,929/667,683
  6. Step 6: Final answer
    x = 2,998,032.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.