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Finding the Third Proportional to 642,274 and 1,383,206

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Solution

The third proportional to 642,274 and 1,383,206 is: 2,978,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,274 : 1,383,206 = 1,383,206 : x
  2. Step 2: Convert to fraction form
    642,274/1,383,206 = 1,383,206/x
  3. Step 3: Cross multiply
    642,274x = 1,383,206 × 1,383,206
  4. Step 4: Simplify right side
    642,274x = 1,913,258,838,436
  5. Step 5: Solve for x
    x = 1,913,258,838,436/642,274
  6. Step 6: Final answer
    x = 2,978,882.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.