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Finding the Third Proportional to 585,738 and 1,187,775

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Solution

The third proportional to 585,738 and 1,187,775 is: 2,408,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,738 : 1,187,775 = 1,187,775 : x
  2. Step 2: Convert to fraction form
    585,738/1,187,775 = 1,187,775/x
  3. Step 3: Cross multiply
    585,738x = 1,187,775 × 1,187,775
  4. Step 4: Simplify right side
    585,738x = 1,410,809,450,625
  5. Step 5: Solve for x
    x = 1,410,809,450,625/585,738
  6. Step 6: Final answer
    x = 2,408,601.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.