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Finding the Third Proportional to 642,349 and 1,383,356

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Solution

The third proportional to 642,349 and 1,383,356 is: 2,979,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,349 : 1,383,356 = 1,383,356 : x
  2. Step 2: Convert to fraction form
    642,349/1,383,356 = 1,383,356/x
  3. Step 3: Cross multiply
    642,349x = 1,383,356 × 1,383,356
  4. Step 4: Simplify right side
    642,349x = 1,913,673,822,736
  5. Step 5: Solve for x
    x = 1,913,673,822,736/642,349
  6. Step 6: Final answer
    x = 2,979,180.82

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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.