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Finding the Third Proportional to 810,735.75 and 1,876,635

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Solution

The third proportional to 810,735.75 and 1,876,635 is: 4,343,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,735.75 : 1,876,635 = 1,876,635 : x
  2. Step 2: Convert to fraction form
    810,735.75/1,876,635 = 1,876,635/x
  3. Step 3: Cross multiply
    810,735.75x = 1,876,635 × 1,876,635
  4. Step 4: Simplify right side
    810,735.75x = 3,521,758,923,225
  5. Step 5: Solve for x
    x = 3,521,758,923,225/810,735.75
  6. Step 6: Final answer
    x = 4,343,904.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.