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Finding the Third Proportional to 2,704,857 and 5,711,520

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Solution

The third proportional to 2,704,857 and 5,711,520 is: 12,060,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704,857 : 5,711,520 = 5,711,520 : x
  2. Step 2: Convert to fraction form
    2,704,857/5,711,520 = 5,711,520/x
  3. Step 3: Cross multiply
    2,704,857x = 5,711,520 × 5,711,520
  4. Step 4: Simplify right side
    2,704,857x = 32,621,460,710,400
  5. Step 5: Solve for x
    x = 32,621,460,710,400/2,704,857
  6. Step 6: Final answer
    x = 12,060,327.30

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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.