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Finding the Third Proportional to 539,339 and 1,198,397

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Solution

The third proportional to 539,339 and 1,198,397 is: 2,662,806.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,339 : 1,198,397 = 1,198,397 : x
  2. Step 2: Convert to fraction form
    539,339/1,198,397 = 1,198,397/x
  3. Step 3: Cross multiply
    539,339x = 1,198,397 × 1,198,397
  4. Step 4: Simplify right side
    539,339x = 1,436,155,369,609
  5. Step 5: Solve for x
    x = 1,436,155,369,609/539,339
  6. Step 6: Final answer
    x = 2,662,806.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.