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Finding the Third Proportional to 1,203,376 and 2,614,238

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Solution

The third proportional to 1,203,376 and 2,614,238 is: 5,679,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,376 : 2,614,238 = 2,614,238 : x
  2. Step 2: Convert to fraction form
    1,203,376/2,614,238 = 2,614,238/x
  3. Step 3: Cross multiply
    1,203,376x = 2,614,238 × 2,614,238
  4. Step 4: Simplify right side
    1,203,376x = 6,834,240,320,644
  5. Step 5: Solve for x
    x = 6,834,240,320,644/1,203,376
  6. Step 6: Final answer
    x = 5,679,222.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.