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Finding the Third Proportional to 2,454,174 and 5,272,659

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Solution

The third proportional to 2,454,174 and 5,272,659 is: 11,328,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454,174 : 5,272,659 = 5,272,659 : x
  2. Step 2: Convert to fraction form
    2,454,174/5,272,659 = 5,272,659/x
  3. Step 3: Cross multiply
    2,454,174x = 5,272,659 × 5,272,659
  4. Step 4: Simplify right side
    2,454,174x = 27,800,932,930,281
  5. Step 5: Solve for x
    x = 27,800,932,930,281/2,454,174
  6. Step 6: Final answer
    x = 11,328,020.32

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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.