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Finding the Third Proportional to 2,188,131.47 and 3,211,203.23

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Solution

The third proportional to 2,188,131.47 and 3,211,203.23 is: 4,712,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188,131.47 : 3,211,203.23 = 3,211,203.23 : x
  2. Step 2: Convert to fraction form
    2,188,131.47/3,211,203.23 = 3,211,203.23/x
  3. Step 3: Cross multiply
    2,188,131.47x = 3,211,203.23 × 3,211,203.23
  4. Step 4: Simplify right side
    2,188,131.47x = 10,311,826,212,460.46
  5. Step 5: Solve for x
    x = 10,311,826,212,460.46/2,188,131.47
  6. Step 6: Final answer
    x = 4,712,617.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.