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Finding the Third Proportional to 2,111,376 and 4,297,600

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Solution

The third proportional to 2,111,376 and 4,297,600 is: 8,747,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111,376 : 4,297,600 = 4,297,600 : x
  2. Step 2: Convert to fraction form
    2,111,376/4,297,600 = 4,297,600/x
  3. Step 3: Cross multiply
    2,111,376x = 4,297,600 × 4,297,600
  4. Step 4: Simplify right side
    2,111,376x = 18,469,365,760,000
  5. Step 5: Solve for x
    x = 18,469,365,760,000/2,111,376
  6. Step 6: Final answer
    x = 8,747,549.35

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.