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Finding the Third Proportional to 814,116.75 and 1,215,024

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Solution

The third proportional to 814,116.75 and 1,215,024 is: 1,813,355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,116.75 : 1,215,024 = 1,215,024 : x
  2. Step 2: Convert to fraction form
    814,116.75/1,215,024 = 1,215,024/x
  3. Step 3: Cross multiply
    814,116.75x = 1,215,024 × 1,215,024
  4. Step 4: Simplify right side
    814,116.75x = 1,476,283,320,576
  5. Step 5: Solve for x
    x = 1,476,283,320,576/814,116.75
  6. Step 6: Final answer
    x = 1,813,355.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.