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Finding the Third Proportional to 1,629,936 and 3,540,348

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Solution

The third proportional to 1,629,936 and 3,540,348 is: 7,689,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629,936 : 3,540,348 = 3,540,348 : x
  2. Step 2: Convert to fraction form
    1,629,936/3,540,348 = 3,540,348/x
  3. Step 3: Cross multiply
    1,629,936x = 3,540,348 × 3,540,348
  4. Step 4: Simplify right side
    1,629,936x = 12,534,063,961,104
  5. Step 5: Solve for x
    x = 12,534,063,961,104/1,629,936
  6. Step 6: Final answer
    x = 7,689,911.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.