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Finding the Third Proportional to 1,449,362.25 and 2,131,419.38

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Solution

The third proportional to 1,449,362.25 and 2,131,419.38 is: 3,134,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,362.25 : 2,131,419.38 = 2,131,419.38 : x
  2. Step 2: Convert to fraction form
    1,449,362.25/2,131,419.38 = 2,131,419.38/x
  3. Step 3: Cross multiply
    1,449,362.25x = 2,131,419.38 × 2,131,419.38
  4. Step 4: Simplify right side
    1,449,362.25x = 4,542,948,552,125.39
  5. Step 5: Solve for x
    x = 4,542,948,552,125.39/1,449,362.25
  6. Step 6: Final answer
    x = 3,134,446.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.