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Finding the Third Proportional to 618,215.81 and 1,302,851.63

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Solution

The third proportional to 618,215.81 and 1,302,851.63 is: 2,745,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,215.81 : 1,302,851.63 = 1,302,851.63 : x
  2. Step 2: Convert to fraction form
    618,215.81/1,302,851.63 = 1,302,851.63/x
  3. Step 3: Cross multiply
    618,215.81x = 1,302,851.63 × 1,302,851.63
  4. Step 4: Simplify right side
    618,215.81x = 1,697,422,356,765.14
  5. Step 5: Solve for x
    x = 1,697,422,356,765.14/618,215.81
  6. Step 6: Final answer
    x = 2,745,679.30

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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.