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Finding the Third Proportional to 598,539 and 1,280,094

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Solution

The third proportional to 598,539 and 1,280,094 is: 2,737,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,539 : 1,280,094 = 1,280,094 : x
  2. Step 2: Convert to fraction form
    598,539/1,280,094 = 1,280,094/x
  3. Step 3: Cross multiply
    598,539x = 1,280,094 × 1,280,094
  4. Step 4: Simplify right side
    598,539x = 1,638,640,648,836
  5. Step 5: Solve for x
    x = 1,638,640,648,836/598,539
  6. Step 6: Final answer
    x = 2,737,734.13

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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.