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Finding the Third Proportional to 2,171,853 and 4,632,147

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Solution

The third proportional to 2,171,853 and 4,632,147 is: 9,879,483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,853 : 4,632,147 = 4,632,147 : x
  2. Step 2: Convert to fraction form
    2,171,853/4,632,147 = 4,632,147/x
  3. Step 3: Cross multiply
    2,171,853x = 4,632,147 × 4,632,147
  4. Step 4: Simplify right side
    2,171,853x = 21,456,785,829,609
  5. Step 5: Solve for x
    x = 21,456,785,829,609/2,171,853
  6. Step 6: Final answer
    x = 9,879,483.48

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.