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Finding the Third Proportional to 2,353,374 and 3,633,863.77

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Solution

The third proportional to 2,353,374 and 3,633,863.77 is: 5,611,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353,374 : 3,633,863.77 = 3,633,863.77 : x
  2. Step 2: Convert to fraction form
    2,353,374/3,633,863.77 = 3,633,863.77/x
  3. Step 3: Cross multiply
    2,353,374x = 3,633,863.77 × 3,633,863.77
  4. Step 4: Simplify right side
    2,353,374x = 13,204,965,867,122.30
  5. Step 5: Solve for x
    x = 13,204,965,867,122.30/2,353,374
  6. Step 6: Final answer
    x = 5,611,078.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.