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Finding the Third Proportional to 1,921,105.50 and 4,140,147

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Solution

The third proportional to 1,921,105.50 and 4,140,147 is: 8,922,371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921,105.50 : 4,140,147 = 4,140,147 : x
  2. Step 2: Convert to fraction form
    1,921,105.50/4,140,147 = 4,140,147/x
  3. Step 3: Cross multiply
    1,921,105.50x = 4,140,147 × 4,140,147
  4. Step 4: Simplify right side
    1,921,105.50x = 17,140,817,181,609
  5. Step 5: Solve for x
    x = 17,140,817,181,609/1,921,105.50
  6. Step 6: Final answer
    x = 8,922,371.61

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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.