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Finding the Third Proportional to 419,856.75 and 899,610.75

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Solution

The third proportional to 419,856.75 and 899,610.75 is: 1,927,561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,856.75 : 899,610.75 = 899,610.75 : x
  2. Step 2: Convert to fraction form
    419,856.75/899,610.75 = 899,610.75/x
  3. Step 3: Cross multiply
    419,856.75x = 899,610.75 × 899,610.75
  4. Step 4: Simplify right side
    419,856.75x = 809,299,501,515.56
  5. Step 5: Solve for x
    x = 809,299,501,515.56/419,856.75
  6. Step 6: Final answer
    x = 1,927,561.01

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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.