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Finding the Third Proportional to 460,188 and 1,008,936

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Solution

The third proportional to 460,188 and 1,008,936 is: 2,212,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,188 : 1,008,936 = 1,008,936 : x
  2. Step 2: Convert to fraction form
    460,188/1,008,936 = 1,008,936/x
  3. Step 3: Cross multiply
    460,188x = 1,008,936 × 1,008,936
  4. Step 4: Simplify right side
    460,188x = 1,017,951,852,096
  5. Step 5: Solve for x
    x = 1,017,951,852,096/460,188
  6. Step 6: Final answer
    x = 2,212,034.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.