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Finding the Third Proportional to 420,598.50 and 1,014,027

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Solution

The third proportional to 420,598.50 and 1,014,027 is: 2,444,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,598.50 : 1,014,027 = 1,014,027 : x
  2. Step 2: Convert to fraction form
    420,598.50/1,014,027 = 1,014,027/x
  3. Step 3: Cross multiply
    420,598.50x = 1,014,027 × 1,014,027
  4. Step 4: Simplify right side
    420,598.50x = 1,028,250,756,729
  5. Step 5: Solve for x
    x = 1,028,250,756,729/420,598.50
  6. Step 6: Final answer
    x = 2,444,732.34

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.