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Finding the Third Proportional to 810,749.25 and 1,876,668.75

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Solution

The third proportional to 810,749.25 and 1,876,668.75 is: 4,343,988.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,749.25 : 1,876,668.75 = 1,876,668.75 : x
  2. Step 2: Convert to fraction form
    810,749.25/1,876,668.75 = 1,876,668.75/x
  3. Step 3: Cross multiply
    810,749.25x = 1,876,668.75 × 1,876,668.75
  4. Step 4: Simplify right side
    810,749.25x = 3,521,885,597,226.56
  5. Step 5: Solve for x
    x = 3,521,885,597,226.56/810,749.25
  6. Step 6: Final answer
    x = 4,343,988.72

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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.