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Finding the Third Proportional to 481,509 and 1,138,713.75

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Solution

The third proportional to 481,509 and 1,138,713.75 is: 2,692,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,509 : 1,138,713.75 = 1,138,713.75 : x
  2. Step 2: Convert to fraction form
    481,509/1,138,713.75 = 1,138,713.75/x
  3. Step 3: Cross multiply
    481,509x = 1,138,713.75 × 1,138,713.75
  4. Step 4: Simplify right side
    481,509x = 1,296,669,004,439.06
  5. Step 5: Solve for x
    x = 1,296,669,004,439.06/481,509
  6. Step 6: Final answer
    x = 2,692,927.87

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.