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Finding the Third Proportional to 2,461,760 and 5,119,216

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Solution

The third proportional to 2,461,760 and 5,119,216 is: 10,645,380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461,760 : 5,119,216 = 5,119,216 : x
  2. Step 2: Convert to fraction form
    2,461,760/5,119,216 = 5,119,216/x
  3. Step 3: Cross multiply
    2,461,760x = 5,119,216 × 5,119,216
  4. Step 4: Simplify right side
    2,461,760x = 26,206,372,454,656
  5. Step 5: Solve for x
    x = 26,206,372,454,656/2,461,760
  6. Step 6: Final answer
    x = 10,645,380.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.