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Finding the Third Proportional to 809,840 and 1,771,764.75

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Solution

The third proportional to 809,840 and 1,771,764.75 is: 3,876,259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,840 : 1,771,764.75 = 1,771,764.75 : x
  2. Step 2: Convert to fraction form
    809,840/1,771,764.75 = 1,771,764.75/x
  3. Step 3: Cross multiply
    809,840x = 1,771,764.75 × 1,771,764.75
  4. Step 4: Simplify right side
    809,840x = 3,139,150,329,342.56
  5. Step 5: Solve for x
    x = 3,139,150,329,342.56/809,840
  6. Step 6: Final answer
    x = 3,876,259.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.