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Finding the Third Proportional to 2,014,598 and 4,348,234

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Solution

The third proportional to 2,014,598 and 4,348,234 is: 9,385,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,598 : 4,348,234 = 4,348,234 : x
  2. Step 2: Convert to fraction form
    2,014,598/4,348,234 = 4,348,234/x
  3. Step 3: Cross multiply
    2,014,598x = 4,348,234 × 4,348,234
  4. Step 4: Simplify right side
    2,014,598x = 18,907,138,918,756
  5. Step 5: Solve for x
    x = 18,907,138,918,756/2,014,598
  6. Step 6: Final answer
    x = 9,385,067.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.