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Finding the Third Proportional to 460,863 and 940,023.38

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Solution

The third proportional to 460,863 and 940,023.38 is: 1,917,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,863 : 940,023.38 = 940,023.38 : x
  2. Step 2: Convert to fraction form
    460,863/940,023.38 = 940,023.38/x
  3. Step 3: Cross multiply
    460,863x = 940,023.38 × 940,023.38
  4. Step 4: Simplify right side
    460,863x = 883,643,945,546.39
  5. Step 5: Solve for x
    x = 883,643,945,546.39/460,863
  6. Step 6: Final answer
    x = 1,917,367.95

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