Finding the Third Proportional to 407,277 and 894,847
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Solution
The third proportional to 407,277 and 894,847 is: 1,966,109.44
Step by Step Solution
- Step 1: Write the proportion equation
407,277 : 894,847 = 894,847 : x - Step 2: Convert to fraction form
407,277/894,847 = 894,847/x - Step 3: Cross multiply
407,277x = 894,847 × 894,847 - Step 4: Simplify right side
407,277x = 800,751,153,409 - Step 5: Solve for x
x = 800,751,153,409/407,277 - Step 6: Final answer
x = 1,966,109.44
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.