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Finding the Third Proportional to 1,099,703.25 and 2,299,900.50

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Solution

The third proportional to 1,099,703.25 and 2,299,900.50 is: 4,809,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,703.25 : 2,299,900.50 = 2,299,900.50 : x
  2. Step 2: Convert to fraction form
    1,099,703.25/2,299,900.50 = 2,299,900.50/x
  3. Step 3: Cross multiply
    1,099,703.25x = 2,299,900.50 × 2,299,900.50
  4. Step 4: Simplify right side
    1,099,703.25x = 5,289,542,309,900.25
  5. Step 5: Solve for x
    x = 5,289,542,309,900.25/1,099,703.25
  6. Step 6: Final answer
    x = 4,809,972.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.