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Finding the Third Proportional to 674,410 and 1,444,469

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Solution

The third proportional to 674,410 and 1,444,469 is: 3,093,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,410 : 1,444,469 = 1,444,469 : x
  2. Step 2: Convert to fraction form
    674,410/1,444,469 = 1,444,469/x
  3. Step 3: Cross multiply
    674,410x = 1,444,469 × 1,444,469
  4. Step 4: Simplify right side
    674,410x = 2,086,490,691,961
  5. Step 5: Solve for x
    x = 2,086,490,691,961/674,410
  6. Step 6: Final answer
    x = 3,093,801.53

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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.