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Finding the Third Proportional to 547,498 and 1,170,656

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Solution

The third proportional to 547,498 and 1,170,656 is: 2,503,087.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,498 : 1,170,656 = 1,170,656 : x
  2. Step 2: Convert to fraction form
    547,498/1,170,656 = 1,170,656/x
  3. Step 3: Cross multiply
    547,498x = 1,170,656 × 1,170,656
  4. Step 4: Simplify right side
    547,498x = 1,370,435,470,336
  5. Step 5: Solve for x
    x = 1,370,435,470,336/547,498
  6. Step 6: Final answer
    x = 2,503,087.63

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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.