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Finding the Third Proportional to 415,640.81 and 899,592.75

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Solution

The third proportional to 415,640.81 and 899,592.75 is: 1,947,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,640.81 : 899,592.75 = 899,592.75 : x
  2. Step 2: Convert to fraction form
    415,640.81/899,592.75 = 899,592.75/x
  3. Step 3: Cross multiply
    415,640.81x = 899,592.75 × 899,592.75
  4. Step 4: Simplify right side
    415,640.81x = 809,267,115,852.56
  5. Step 5: Solve for x
    x = 809,267,115,852.56/415,640.81
  6. Step 6: Final answer
    x = 1,947,034.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.