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Finding the Third Proportional to 945,770 and 1,505,635

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Solution

The third proportional to 945,770 and 1,505,635 is: 2,396,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,770 : 1,505,635 = 1,505,635 : x
  2. Step 2: Convert to fraction form
    945,770/1,505,635 = 1,505,635/x
  3. Step 3: Cross multiply
    945,770x = 1,505,635 × 1,505,635
  4. Step 4: Simplify right side
    945,770x = 2,266,936,753,225
  5. Step 5: Solve for x
    x = 2,266,936,753,225/945,770
  6. Step 6: Final answer
    x = 2,396,921.82

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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.