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Finding the Third Proportional to 2,709,296 and 5,791,840

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Solution

The third proportional to 2,709,296 and 5,791,840 is: 12,381,596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709,296 : 5,791,840 = 5,791,840 : x
  2. Step 2: Convert to fraction form
    2,709,296/5,791,840 = 5,791,840/x
  3. Step 3: Cross multiply
    2,709,296x = 5,791,840 × 5,791,840
  4. Step 4: Simplify right side
    2,709,296x = 33,545,410,585,600
  5. Step 5: Solve for x
    x = 33,545,410,585,600/2,709,296
  6. Step 6: Final answer
    x = 12,381,596.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.