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Finding the Third Proportional to 681,979 and 1,136,584

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Solution

The third proportional to 681,979 and 1,136,584 is: 1,894,227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,979 : 1,136,584 = 1,136,584 : x
  2. Step 2: Convert to fraction form
    681,979/1,136,584 = 1,136,584/x
  3. Step 3: Cross multiply
    681,979x = 1,136,584 × 1,136,584
  4. Step 4: Simplify right side
    681,979x = 1,291,823,189,056
  5. Step 5: Solve for x
    x = 1,291,823,189,056/681,979
  6. Step 6: Final answer
    x = 1,894,227.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.