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Finding the Third Proportional to 1,982,872.41 and 2,675,361.66

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Solution

The third proportional to 1,982,872.41 and 2,675,361.66 is: 3,609,692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982,872.41 : 2,675,361.66 = 2,675,361.66 : x
  2. Step 2: Convert to fraction form
    1,982,872.41/2,675,361.66 = 2,675,361.66/x
  3. Step 3: Cross multiply
    1,982,872.41x = 2,675,361.66 × 2,675,361.66
  4. Step 4: Simplify right side
    1,982,872.41x = 7,157,559,991,732.74
  5. Step 5: Solve for x
    x = 7,157,559,991,732.74/1,982,872.41
  6. Step 6: Final answer
    x = 3,609,692.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.