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Finding the Third Proportional to 1,505,908.13 and 2,294,149.50

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Solution

The third proportional to 1,505,908.13 and 2,294,149.50 is: 3,494,982.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505,908.13 : 2,294,149.50 = 2,294,149.50 : x
  2. Step 2: Convert to fraction form
    1,505,908.13/2,294,149.50 = 2,294,149.50/x
  3. Step 3: Cross multiply
    1,505,908.13x = 2,294,149.50 × 2,294,149.50
  4. Step 4: Simplify right side
    1,505,908.13x = 5,263,121,928,350.25
  5. Step 5: Solve for x
    x = 5,263,121,928,350.25/1,505,908.13
  6. Step 6: Final answer
    x = 3,494,982.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.