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Finding the Third Proportional to 513,084.38 and 1,187,669.25

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Solution

The third proportional to 513,084.38 and 1,187,669.25 is: 2,749,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,084.38 : 1,187,669.25 = 1,187,669.25 : x
  2. Step 2: Convert to fraction form
    513,084.38/1,187,669.25 = 1,187,669.25/x
  3. Step 3: Cross multiply
    513,084.38x = 1,187,669.25 × 1,187,669.25
  4. Step 4: Simplify right side
    513,084.38x = 1,410,558,247,395.56
  5. Step 5: Solve for x
    x = 1,410,558,247,395.56/513,084.38
  6. Step 6: Final answer
    x = 2,749,174.05

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.