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Finding the Third Proportional to 2,092,780 and 4,471,040

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Solution

The third proportional to 2,092,780 and 4,471,040 is: 9,551,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092,780 : 4,471,040 = 4,471,040 : x
  2. Step 2: Convert to fraction form
    2,092,780/4,471,040 = 4,471,040/x
  3. Step 3: Cross multiply
    2,092,780x = 4,471,040 × 4,471,040
  4. Step 4: Simplify right side
    2,092,780x = 19,990,198,681,600
  5. Step 5: Solve for x
    x = 19,990,198,681,600/2,092,780
  6. Step 6: Final answer
    x = 9,551,982.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.