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Finding the Third Proportional to 493,391.25 and 1,062,915

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Solution

The third proportional to 493,391.25 and 1,062,915 is: 2,289,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,391.25 : 1,062,915 = 1,062,915 : x
  2. Step 2: Convert to fraction form
    493,391.25/1,062,915 = 1,062,915/x
  3. Step 3: Cross multiply
    493,391.25x = 1,062,915 × 1,062,915
  4. Step 4: Simplify right side
    493,391.25x = 1,129,788,297,225
  5. Step 5: Solve for x
    x = 1,129,788,297,225/493,391.25
  6. Step 6: Final answer
    x = 2,289,842.59

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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.