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Finding the Third Proportional to 705,109 and 1,374,794

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Solution

The third proportional to 705,109 and 1,374,794 is: 2,680,519.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,109 : 1,374,794 = 1,374,794 : x
  2. Step 2: Convert to fraction form
    705,109/1,374,794 = 1,374,794/x
  3. Step 3: Cross multiply
    705,109x = 1,374,794 × 1,374,794
  4. Step 4: Simplify right side
    705,109x = 1,890,058,542,436
  5. Step 5: Solve for x
    x = 1,890,058,542,436/705,109
  6. Step 6: Final answer
    x = 2,680,519.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.