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Finding the Third Proportional to 598,362 and 1,280,796

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Solution

The third proportional to 598,362 and 1,280,796 is: 2,741,548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,362 : 1,280,796 = 1,280,796 : x
  2. Step 2: Convert to fraction form
    598,362/1,280,796 = 1,280,796/x
  3. Step 3: Cross multiply
    598,362x = 1,280,796 × 1,280,796
  4. Step 4: Simplify right side
    598,362x = 1,640,438,393,616
  5. Step 5: Solve for x
    x = 1,640,438,393,616/598,362
  6. Step 6: Final answer
    x = 2,741,548.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.