Finding the Third Proportional to 496,197 and 1,086,954
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Solution
The third proportional to 496,197 and 1,086,954 is: 2,381,048.25
Step by Step Solution
- Step 1: Write the proportion equation
496,197 : 1,086,954 = 1,086,954 : x - Step 2: Convert to fraction form
496,197/1,086,954 = 1,086,954/x - Step 3: Cross multiply
496,197x = 1,086,954 × 1,086,954 - Step 4: Simplify right side
496,197x = 1,181,468,998,116 - Step 5: Solve for x
x = 1,181,468,998,116/496,197 - Step 6: Final answer
x = 2,381,048.25
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.