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Finding the Third Proportional to 598,387 and 1,280,830

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Solution

The third proportional to 598,387 and 1,280,830 is: 2,741,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,387 : 1,280,830 = 1,280,830 : x
  2. Step 2: Convert to fraction form
    598,387/1,280,830 = 1,280,830/x
  3. Step 3: Cross multiply
    598,387x = 1,280,830 × 1,280,830
  4. Step 4: Simplify right side
    598,387x = 1,640,525,488,900
  5. Step 5: Solve for x
    x = 1,640,525,488,900/598,387
  6. Step 6: Final answer
    x = 2,741,579.43

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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.