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Finding the Third Proportional to 1,743,046.59 and 3,738,236.06

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Solution

The third proportional to 1,743,046.59 and 3,738,236.06 is: 8,017,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,046.59 : 3,738,236.06 = 3,738,236.06 : x
  2. Step 2: Convert to fraction form
    1,743,046.59/3,738,236.06 = 3,738,236.06/x
  3. Step 3: Cross multiply
    1,743,046.59x = 3,738,236.06 × 3,738,236.06
  4. Step 4: Simplify right side
    1,743,046.59x = 13,974,408,858,975.50
  5. Step 5: Solve for x
    x = 13,974,408,858,975.50/1,743,046.59
  6. Step 6: Final answer
    x = 8,017,231.96

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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.