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Finding the Third Proportional to 598,367 and 1,280,806

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Solution

The third proportional to 598,367 and 1,280,806 is: 2,741,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,367 : 1,280,806 = 1,280,806 : x
  2. Step 2: Convert to fraction form
    598,367/1,280,806 = 1,280,806/x
  3. Step 3: Cross multiply
    598,367x = 1,280,806 × 1,280,806
  4. Step 4: Simplify right side
    598,367x = 1,640,464,009,636
  5. Step 5: Solve for x
    x = 1,640,464,009,636/598,367
  6. Step 6: Final answer
    x = 2,741,568.32

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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.