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Finding the Third Proportional to 408,997.69 and 874,856.81

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Solution

The third proportional to 408,997.69 and 874,856.81 is: 1,871,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,997.69 : 874,856.81 = 874,856.81 : x
  2. Step 2: Convert to fraction form
    408,997.69/874,856.81 = 874,856.81/x
  3. Step 3: Cross multiply
    408,997.69x = 874,856.81 × 874,856.81
  4. Step 4: Simplify right side
    408,997.69x = 765,374,442,377.66
  5. Step 5: Solve for x
    x = 765,374,442,377.66/408,997.69
  6. Step 6: Final answer
    x = 1,871,341.74

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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.