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Finding the Third Proportional to 836,174 and 1,262,096

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Solution

The third proportional to 836,174 and 1,262,096 is: 1,904,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,174 : 1,262,096 = 1,262,096 : x
  2. Step 2: Convert to fraction form
    836,174/1,262,096 = 1,262,096/x
  3. Step 3: Cross multiply
    836,174x = 1,262,096 × 1,262,096
  4. Step 4: Simplify right side
    836,174x = 1,592,886,313,216
  5. Step 5: Solve for x
    x = 1,592,886,313,216/836,174
  6. Step 6: Final answer
    x = 1,904,969.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.