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Finding the Third Proportional to 591,122 and 892,891

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Solution

The third proportional to 591,122 and 892,891 is: 1,348,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,122 : 892,891 = 892,891 : x
  2. Step 2: Convert to fraction form
    591,122/892,891 = 892,891/x
  3. Step 3: Cross multiply
    591,122x = 892,891 × 892,891
  4. Step 4: Simplify right side
    591,122x = 797,254,337,881
  5. Step 5: Solve for x
    x = 797,254,337,881/591,122
  6. Step 6: Final answer
    x = 1,348,713.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.