Finding the Third Proportional to 609 and 1,194
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Solution
The third proportional to 609 and 1,194 is: 2,340.95
Step by Step Solution
- Step 1: Write the proportion equation
609 : 1,194 = 1,194 : x - Step 2: Convert to fraction form
609/1,194 = 1,194/x - Step 3: Cross multiply
609x = 1,194 × 1,194 - Step 4: Simplify right side
609x = 1,425,636 - Step 5: Solve for x
x = 1,425,636/609 - Step 6: Final answer
x = 2,340.95
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Why These Related Problems?
These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.