Finding the Third Proportional to 407,117 and 870,142
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Solution
The third proportional to 407,117 and 870,142 is: 1,859,777.66
Step by Step Solution
- Step 1: Write the proportion equation
407,117 : 870,142 = 870,142 : x - Step 2: Convert to fraction form
407,117/870,142 = 870,142/x - Step 3: Cross multiply
407,117x = 870,142 × 870,142 - Step 4: Simplify right side
407,117x = 757,147,100,164 - Step 5: Solve for x
x = 757,147,100,164/407,117 - Step 6: Final answer
x = 1,859,777.66
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.