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Finding the Third Proportional to 419,847.05 and 899,593.59

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Solution

The third proportional to 419,847.05 and 899,593.59 is: 1,927,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,847.05 : 899,593.59 = 899,593.59 : x
  2. Step 2: Convert to fraction form
    419,847.05/899,593.59 = 899,593.59/x
  3. Step 3: Cross multiply
    419,847.05x = 899,593.59 × 899,593.59
  4. Step 4: Simplify right side
    419,847.05x = 809,268,633,916.04
  5. Step 5: Solve for x
    x = 809,268,633,916.04/419,847.05
  6. Step 6: Final answer
    x = 1,927,532.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.