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Finding the Third Proportional to 618,212.25 and 1,302,844.50

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Solution

The third proportional to 618,212.25 and 1,302,844.50 is: 2,745,665.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,212.25 : 1,302,844.50 = 1,302,844.50 : x
  2. Step 2: Convert to fraction form
    618,212.25/1,302,844.50 = 1,302,844.50/x
  3. Step 3: Cross multiply
    618,212.25x = 1,302,844.50 × 1,302,844.50
  4. Step 4: Simplify right side
    618,212.25x = 1,697,403,791,180.25
  5. Step 5: Solve for x
    x = 1,697,403,791,180.25/618,212.25
  6. Step 6: Final answer
    x = 2,745,665.09

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.