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Finding the Third Proportional to 1,786,108.50 and 2,679,486.75

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Solution

The third proportional to 1,786,108.50 and 2,679,486.75 is: 4,019,716.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786,108.50 : 2,679,486.75 = 2,679,486.75 : x
  2. Step 2: Convert to fraction form
    1,786,108.50/2,679,486.75 = 2,679,486.75/x
  3. Step 3: Cross multiply
    1,786,108.50x = 2,679,486.75 × 2,679,486.75
  4. Step 4: Simplify right side
    1,786,108.50x = 7,179,649,243,425.56
  5. Step 5: Solve for x
    x = 7,179,649,243,425.56/1,786,108.50
  6. Step 6: Final answer
    x = 4,019,716.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.