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Finding the Third Proportional to 728,768.81 and 1,601,015.63

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Solution

The third proportional to 728,768.81 and 1,601,015.63 is: 3,517,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,768.81 : 1,601,015.63 = 1,601,015.63 : x
  2. Step 2: Convert to fraction form
    728,768.81/1,601,015.63 = 1,601,015.63/x
  3. Step 3: Cross multiply
    728,768.81x = 1,601,015.63 × 1,601,015.63
  4. Step 4: Simplify right side
    728,768.81x = 2,563,251,031,494.14
  5. Step 5: Solve for x
    x = 2,563,251,031,494.14/728,768.81
  6. Step 6: Final answer
    x = 3,517,234.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.