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Finding the Third Proportional to 2,380,010 and 3,625,851

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Solution

The third proportional to 2,380,010 and 3,625,851 is: 5,523,840.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380,010 : 3,625,851 = 3,625,851 : x
  2. Step 2: Convert to fraction form
    2,380,010/3,625,851 = 3,625,851/x
  3. Step 3: Cross multiply
    2,380,010x = 3,625,851 × 3,625,851
  4. Step 4: Simplify right side
    2,380,010x = 13,146,795,474,201
  5. Step 5: Solve for x
    x = 13,146,795,474,201/2,380,010
  6. Step 6: Final answer
    x = 5,523,840.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.