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Finding the Third Proportional to 2,936,026 and 6,449,420

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Solution

The third proportional to 2,936,026 and 6,449,420 is: 14,167,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936,026 : 6,449,420 = 6,449,420 : x
  2. Step 2: Convert to fraction form
    2,936,026/6,449,420 = 6,449,420/x
  3. Step 3: Cross multiply
    2,936,026x = 6,449,420 × 6,449,420
  4. Step 4: Simplify right side
    2,936,026x = 41,595,018,336,400
  5. Step 5: Solve for x
    x = 41,595,018,336,400/2,936,026
  6. Step 6: Final answer
    x = 14,167,115.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.