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Finding the Third Proportional to 674,337 and 1,444,860

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Solution

The third proportional to 674,337 and 1,444,860 is: 3,095,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,337 : 1,444,860 = 1,444,860 : x
  2. Step 2: Convert to fraction form
    674,337/1,444,860 = 1,444,860/x
  3. Step 3: Cross multiply
    674,337x = 1,444,860 × 1,444,860
  4. Step 4: Simplify right side
    674,337x = 2,087,620,419,600
  5. Step 5: Solve for x
    x = 2,087,620,419,600/674,337
  6. Step 6: Final answer
    x = 3,095,811.77

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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.