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Finding the Third Proportional to 546,599 and 1,198,498

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Solution

The third proportional to 546,599 and 1,198,498 is: 2,627,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,599 : 1,198,498 = 1,198,498 : x
  2. Step 2: Convert to fraction form
    546,599/1,198,498 = 1,198,498/x
  3. Step 3: Cross multiply
    546,599x = 1,198,498 × 1,198,498
  4. Step 4: Simplify right side
    546,599x = 1,436,397,456,004
  5. Step 5: Solve for x
    x = 1,436,397,456,004/546,599
  6. Step 6: Final answer
    x = 2,627,881.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.