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Finding the Third Proportional to 2,317,731 and 3,409,591.50

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Solution

The third proportional to 2,317,731 and 3,409,591.50 is: 5,015,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317,731 : 3,409,591.50 = 3,409,591.50 : x
  2. Step 2: Convert to fraction form
    2,317,731/3,409,591.50 = 3,409,591.50/x
  3. Step 3: Cross multiply
    2,317,731x = 3,409,591.50 × 3,409,591.50
  4. Step 4: Simplify right side
    2,317,731x = 11,625,314,196,872.25
  5. Step 5: Solve for x
    x = 11,625,314,196,872.25/2,317,731
  6. Step 6: Final answer
    x = 5,015,816.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.