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Finding the Third Proportional to 674,412 and 1,444,485

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Solution

The third proportional to 674,412 and 1,444,485 is: 3,093,860.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,412 : 1,444,485 = 1,444,485 : x
  2. Step 2: Convert to fraction form
    674,412/1,444,485 = 1,444,485/x
  3. Step 3: Cross multiply
    674,412x = 1,444,485 × 1,444,485
  4. Step 4: Simplify right side
    674,412x = 2,086,536,915,225
  5. Step 5: Solve for x
    x = 2,086,536,915,225/674,412
  6. Step 6: Final answer
    x = 3,093,860.90

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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.