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Finding the Third Proportional to 2,578,340 and 5,464,034

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Solution

The third proportional to 2,578,340 and 5,464,034 is: 11,579,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,340 : 5,464,034 = 5,464,034 : x
  2. Step 2: Convert to fraction form
    2,578,340/5,464,034 = 5,464,034/x
  3. Step 3: Cross multiply
    2,578,340x = 5,464,034 × 5,464,034
  4. Step 4: Simplify right side
    2,578,340x = 29,855,667,553,156
  5. Step 5: Solve for x
    x = 29,855,667,553,156/2,578,340
  6. Step 6: Final answer
    x = 11,579,414.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.