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Finding the Third Proportional to 642,278 and 1,383,214

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Solution

The third proportional to 642,278 and 1,383,214 is: 2,978,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,278 : 1,383,214 = 1,383,214 : x
  2. Step 2: Convert to fraction form
    642,278/1,383,214 = 1,383,214/x
  3. Step 3: Cross multiply
    642,278x = 1,383,214 × 1,383,214
  4. Step 4: Simplify right side
    642,278x = 1,913,280,969,796
  5. Step 5: Solve for x
    x = 1,913,280,969,796/642,278
  6. Step 6: Final answer
    x = 2,978,898.50

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Why These Related Problems?

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