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Finding the Third Proportional to 945,771 and 1,505,638

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Solution

The third proportional to 945,771 and 1,505,638 is: 2,396,928.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,771 : 1,505,638 = 1,505,638 : x
  2. Step 2: Convert to fraction form
    945,771/1,505,638 = 1,505,638/x
  3. Step 3: Cross multiply
    945,771x = 1,505,638 × 1,505,638
  4. Step 4: Simplify right side
    945,771x = 2,266,945,787,044
  5. Step 5: Solve for x
    x = 2,266,945,787,044/945,771
  6. Step 6: Final answer
    x = 2,396,928.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.