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Finding the Third Proportional to 2,704,713 and 5,711,231

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Solution

The third proportional to 2,704,713 and 5,711,231 is: 12,059,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704,713 : 5,711,231 = 5,711,231 : x
  2. Step 2: Convert to fraction form
    2,704,713/5,711,231 = 5,711,231/x
  3. Step 3: Cross multiply
    2,704,713x = 5,711,231 × 5,711,231
  4. Step 4: Simplify right side
    2,704,713x = 32,618,159,535,361
  5. Step 5: Solve for x
    x = 32,618,159,535,361/2,704,713
  6. Step 6: Final answer
    x = 12,059,748.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.