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Finding the Third Proportional to 480,754 and 1,025,866

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Solution

The third proportional to 480,754 and 1,025,866 is: 2,189,063.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,754 : 1,025,866 = 1,025,866 : x
  2. Step 2: Convert to fraction form
    480,754/1,025,866 = 1,025,866/x
  3. Step 3: Cross multiply
    480,754x = 1,025,866 × 1,025,866
  4. Step 4: Simplify right side
    480,754x = 1,052,401,049,956
  5. Step 5: Solve for x
    x = 1,052,401,049,956/480,754
  6. Step 6: Final answer
    x = 2,189,063.53

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.