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Finding the Third Proportional to 619,422 and 1,313,274

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Solution

The third proportional to 619,422 and 1,313,274 is: 2,784,351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,422 : 1,313,274 = 1,313,274 : x
  2. Step 2: Convert to fraction form
    619,422/1,313,274 = 1,313,274/x
  3. Step 3: Cross multiply
    619,422x = 1,313,274 × 1,313,274
  4. Step 4: Simplify right side
    619,422x = 1,724,688,599,076
  5. Step 5: Solve for x
    x = 1,724,688,599,076/619,422
  6. Step 6: Final answer
    x = 2,784,351.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.