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Finding the Third Proportional to 1,631,538 and 3,499,272

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Solution

The third proportional to 1,631,538 and 3,499,272 is: 7,505,129.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631,538 : 3,499,272 = 3,499,272 : x
  2. Step 2: Convert to fraction form
    1,631,538/3,499,272 = 3,499,272/x
  3. Step 3: Cross multiply
    1,631,538x = 3,499,272 × 3,499,272
  4. Step 4: Simplify right side
    1,631,538x = 12,244,904,529,984
  5. Step 5: Solve for x
    x = 12,244,904,529,984/1,631,538
  6. Step 6: Final answer
    x = 7,505,129.84

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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.