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Finding the Third Proportional to 580,089 and 1,245,866

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Solution

The third proportional to 580,089 and 1,245,866 is: 2,675,765.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,089 : 1,245,866 = 1,245,866 : x
  2. Step 2: Convert to fraction form
    580,089/1,245,866 = 1,245,866/x
  3. Step 3: Cross multiply
    580,089x = 1,245,866 × 1,245,866
  4. Step 4: Simplify right side
    580,089x = 1,552,182,089,956
  5. Step 5: Solve for x
    x = 1,552,182,089,956/580,089
  6. Step 6: Final answer
    x = 2,675,765.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.