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Finding the Third Proportional to 665,838.98 and 1,467,408.66

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Solution

The third proportional to 665,838.98 and 1,467,408.66 is: 3,233,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,838.98 : 1,467,408.66 = 1,467,408.66 : x
  2. Step 2: Convert to fraction form
    665,838.98/1,467,408.66 = 1,467,408.66/x
  3. Step 3: Cross multiply
    665,838.98x = 1,467,408.66 × 1,467,408.66
  4. Step 4: Simplify right side
    665,838.98x = 2,153,288,164,437.43
  5. Step 5: Solve for x
    x = 2,153,288,164,437.43/665,838.98
  6. Step 6: Final answer
    x = 3,233,947.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.