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Finding the Third Proportional to 469,586 and 1,015,744

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Solution

The third proportional to 469,586 and 1,015,744 is: 2,197,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,586 : 1,015,744 = 1,015,744 : x
  2. Step 2: Convert to fraction form
    469,586/1,015,744 = 1,015,744/x
  3. Step 3: Cross multiply
    469,586x = 1,015,744 × 1,015,744
  4. Step 4: Simplify right side
    469,586x = 1,031,735,873,536
  5. Step 5: Solve for x
    x = 1,031,735,873,536/469,586
  6. Step 6: Final answer
    x = 2,197,118.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.