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Finding the Third Proportional to 598,266 and 1,280,627

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Solution

The third proportional to 598,266 and 1,280,627 is: 2,741,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,266 : 1,280,627 = 1,280,627 : x
  2. Step 2: Convert to fraction form
    598,266/1,280,627 = 1,280,627/x
  3. Step 3: Cross multiply
    598,266x = 1,280,627 × 1,280,627
  4. Step 4: Simplify right side
    598,266x = 1,640,005,513,129
  5. Step 5: Solve for x
    x = 1,640,005,513,129/598,266
  6. Step 6: Final answer
    x = 2,741,264.78

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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.