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Finding the Third Proportional to 1,238,611.50 and 1,914,278.06

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Solution

The third proportional to 1,238,611.50 and 1,914,278.06 is: 2,958,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,611.50 : 1,914,278.06 = 1,914,278.06 : x
  2. Step 2: Convert to fraction form
    1,238,611.50/1,914,278.06 = 1,914,278.06/x
  3. Step 3: Cross multiply
    1,238,611.50x = 1,914,278.06 × 1,914,278.06
  4. Step 4: Simplify right side
    1,238,611.50x = 3,664,460,500,568.75
  5. Step 5: Solve for x
    x = 3,664,460,500,568.75/1,238,611.50
  6. Step 6: Final answer
    x = 2,958,522.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.