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Finding the Third Proportional to 544,328 and 1,138,228

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Solution

The third proportional to 544,328 and 1,138,228 is: 2,380,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,328 : 1,138,228 = 1,138,228 : x
  2. Step 2: Convert to fraction form
    544,328/1,138,228 = 1,138,228/x
  3. Step 3: Cross multiply
    544,328x = 1,138,228 × 1,138,228
  4. Step 4: Simplify right side
    544,328x = 1,295,562,979,984
  5. Step 5: Solve for x
    x = 1,295,562,979,984/544,328
  6. Step 6: Final answer
    x = 2,380,114.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.