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Finding the Third Proportional to 2,697,184 and 5,737,634

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Solution

The third proportional to 2,697,184 and 5,737,634 is: 12,205,486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697,184 : 5,737,634 = 5,737,634 : x
  2. Step 2: Convert to fraction form
    2,697,184/5,737,634 = 5,737,634/x
  3. Step 3: Cross multiply
    2,697,184x = 5,737,634 × 5,737,634
  4. Step 4: Simplify right side
    2,697,184x = 32,920,443,917,956
  5. Step 5: Solve for x
    x = 32,920,443,917,956/2,697,184
  6. Step 6: Final answer
    x = 12,205,486.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.