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Finding the Third Proportional to 598,846 and 1,280,668

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Solution

The third proportional to 598,846 and 1,280,668 is: 2,738,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,846 : 1,280,668 = 1,280,668 : x
  2. Step 2: Convert to fraction form
    598,846/1,280,668 = 1,280,668/x
  3. Step 3: Cross multiply
    598,846x = 1,280,668 × 1,280,668
  4. Step 4: Simplify right side
    598,846x = 1,640,110,526,224
  5. Step 5: Solve for x
    x = 1,640,110,526,224/598,846
  6. Step 6: Final answer
    x = 2,738,785.14

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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.