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Finding the Third Proportional to 580,723 and 885,847

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Solution

The third proportional to 580,723 and 885,847 is: 1,351,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,723 : 885,847 = 885,847 : x
  2. Step 2: Convert to fraction form
    580,723/885,847 = 885,847/x
  3. Step 3: Cross multiply
    580,723x = 885,847 × 885,847
  4. Step 4: Simplify right side
    580,723x = 784,724,907,409
  5. Step 5: Solve for x
    x = 784,724,907,409/580,723
  6. Step 6: Final answer
    x = 1,351,289.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.