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Finding the Third Proportional to 619,233 and 1,280,944

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Solution

The third proportional to 619,233 and 1,280,944 is: 2,649,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,233 : 1,280,944 = 1,280,944 : x
  2. Step 2: Convert to fraction form
    619,233/1,280,944 = 1,280,944/x
  3. Step 3: Cross multiply
    619,233x = 1,280,944 × 1,280,944
  4. Step 4: Simplify right side
    619,233x = 1,640,817,531,136
  5. Step 5: Solve for x
    x = 1,640,817,531,136/619,233
  6. Step 6: Final answer
    x = 2,649,757.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.