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Finding the Third Proportional to 2,679,768 and 5,840,568

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Solution

The third proportional to 2,679,768 and 5,840,568 is: 12,729,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679,768 : 5,840,568 = 5,840,568 : x
  2. Step 2: Convert to fraction form
    2,679,768/5,840,568 = 5,840,568/x
  3. Step 3: Cross multiply
    2,679,768x = 5,840,568 × 5,840,568
  4. Step 4: Simplify right side
    2,679,768x = 34,112,234,562,624
  5. Step 5: Solve for x
    x = 34,112,234,562,624/2,679,768
  6. Step 6: Final answer
    x = 12,729,547.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.