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Finding the Third Proportional to 486,560 and 1,045,568

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Solution

The third proportional to 486,560 and 1,045,568 is: 2,246,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,560 : 1,045,568 = 1,045,568 : x
  2. Step 2: Convert to fraction form
    486,560/1,045,568 = 1,045,568/x
  3. Step 3: Cross multiply
    486,560x = 1,045,568 × 1,045,568
  4. Step 4: Simplify right side
    486,560x = 1,093,212,442,624
  5. Step 5: Solve for x
    x = 1,093,212,442,624/486,560
  6. Step 6: Final answer
    x = 2,246,819.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.