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Finding the Third Proportional to 2,727,682 and 4,091,523

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Solution

The third proportional to 2,727,682 and 4,091,523 is: 6,137,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727,682 : 4,091,523 = 4,091,523 : x
  2. Step 2: Convert to fraction form
    2,727,682/4,091,523 = 4,091,523/x
  3. Step 3: Cross multiply
    2,727,682x = 4,091,523 × 4,091,523
  4. Step 4: Simplify right side
    2,727,682x = 16,740,560,459,529
  5. Step 5: Solve for x
    x = 16,740,560,459,529/2,727,682
  6. Step 6: Final answer
    x = 6,137,284.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.