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Finding the Third Proportional to 1,229,713 and 2,593,107

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Solution

The third proportional to 1,229,713 and 2,593,107 is: 5,468,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,713 : 2,593,107 = 2,593,107 : x
  2. Step 2: Convert to fraction form
    1,229,713/2,593,107 = 2,593,107/x
  3. Step 3: Cross multiply
    1,229,713x = 2,593,107 × 2,593,107
  4. Step 4: Simplify right side
    1,229,713x = 6,724,203,913,449
  5. Step 5: Solve for x
    x = 6,724,203,913,449/1,229,713
  6. Step 6: Final answer
    x = 5,468,108.34

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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.