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Finding the Third Proportional to 2,469,232.13 and 3,800,147.06

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Solution

The third proportional to 2,469,232.13 and 3,800,147.06 is: 5,848,424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469,232.13 : 3,800,147.06 = 3,800,147.06 : x
  2. Step 2: Convert to fraction form
    2,469,232.13/3,800,147.06 = 3,800,147.06/x
  3. Step 3: Cross multiply
    2,469,232.13x = 3,800,147.06 × 3,800,147.06
  4. Step 4: Simplify right side
    2,469,232.13x = 14,441,117,696,627.38
  5. Step 5: Solve for x
    x = 14,441,117,696,627.38/2,469,232.13
  6. Step 6: Final answer
    x = 5,848,424.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.