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Finding the Third Proportional to 1,606,163.63 and 3,468,367.27

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Solution

The third proportional to 1,606,163.63 and 3,468,367.27 is: 7,489,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606,163.63 : 3,468,367.27 = 3,468,367.27 : x
  2. Step 2: Convert to fraction form
    1,606,163.63/3,468,367.27 = 3,468,367.27/x
  3. Step 3: Cross multiply
    1,606,163.63x = 3,468,367.27 × 3,468,367.27
  4. Step 4: Simplify right side
    1,606,163.63x = 12,029,571,489,259.04
  5. Step 5: Solve for x
    x = 12,029,571,489,259.04/1,606,163.63
  6. Step 6: Final answer
    x = 7,489,630.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.