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Finding the Third Proportional to 641,997 and 1,518,252

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Solution

The third proportional to 641,997 and 1,518,252 is: 3,590,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,997 : 1,518,252 = 1,518,252 : x
  2. Step 2: Convert to fraction form
    641,997/1,518,252 = 1,518,252/x
  3. Step 3: Cross multiply
    641,997x = 1,518,252 × 1,518,252
  4. Step 4: Simplify right side
    641,997x = 2,305,089,135,504
  5. Step 5: Solve for x
    x = 2,305,089,135,504/641,997
  6. Step 6: Final answer
    x = 3,590,498.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.