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Finding the Third Proportional to 2,303,638.50 and 3,410,129.25

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Solution

The third proportional to 2,303,638.50 and 3,410,129.25 is: 5,048,093.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303,638.50 : 3,410,129.25 = 3,410,129.25 : x
  2. Step 2: Convert to fraction form
    2,303,638.50/3,410,129.25 = 3,410,129.25/x
  3. Step 3: Cross multiply
    2,303,638.50x = 3,410,129.25 × 3,410,129.25
  4. Step 4: Simplify right side
    2,303,638.50x = 11,628,981,501,705.56
  5. Step 5: Solve for x
    x = 11,628,981,501,705.56/2,303,638.50
  6. Step 6: Final answer
    x = 5,048,093.05

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.