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Finding the Third Proportional to 4,067,827 and 6,154,229

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Solution

The third proportional to 4,067,827 and 6,154,229 is: 9,310,753.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067,827 : 6,154,229 = 6,154,229 : x
  2. Step 2: Convert to fraction form
    4,067,827/6,154,229 = 6,154,229/x
  3. Step 3: Cross multiply
    4,067,827x = 6,154,229 × 6,154,229
  4. Step 4: Simplify right side
    4,067,827x = 37,874,534,584,441
  5. Step 5: Solve for x
    x = 37,874,534,584,441/4,067,827
  6. Step 6: Final answer
    x = 9,310,753.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.