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Finding the Third Proportional to 460,869 and 940,035

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Solution

The third proportional to 460,869 and 940,035 is: 1,917,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,869 : 940,035 = 940,035 : x
  2. Step 2: Convert to fraction form
    460,869/940,035 = 940,035/x
  3. Step 3: Cross multiply
    460,869x = 940,035 × 940,035
  4. Step 4: Simplify right side
    460,869x = 883,665,801,225
  5. Step 5: Solve for x
    x = 883,665,801,225/460,869
  6. Step 6: Final answer
    x = 1,917,390.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.