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Finding the Third Proportional to 2,540,549 and 5,449,486

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Solution

The third proportional to 2,540,549 and 5,449,486 is: 11,689,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540,549 : 5,449,486 = 5,449,486 : x
  2. Step 2: Convert to fraction form
    2,540,549/5,449,486 = 5,449,486/x
  3. Step 3: Cross multiply
    2,540,549x = 5,449,486 × 5,449,486
  4. Step 4: Simplify right side
    2,540,549x = 29,696,897,664,196
  5. Step 5: Solve for x
    x = 29,696,897,664,196/2,540,549
  6. Step 6: Final answer
    x = 11,689,165.48

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Why These Related Problems?

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