Finding the Third Proportional to 819 and 1,281
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Solution
The third proportional to 819 and 1,281 is: 2,003.62
Step by Step Solution
- Step 1: Write the proportion equation
819 : 1,281 = 1,281 : x - Step 2: Convert to fraction form
819/1,281 = 1,281/x - Step 3: Cross multiply
819x = 1,281 × 1,281 - Step 4: Simplify right side
819x = 1,640,961 - Step 5: Solve for x
x = 1,640,961/819 - Step 6: Final answer
x = 2,003.62
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.