Finding the Third Proportional to 417,424 and 902,912
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Solution
The third proportional to 417,424 and 902,912 is: 1,953,050.33
Step by Step Solution
- Step 1: Write the proportion equation
417,424 : 902,912 = 902,912 : x - Step 2: Convert to fraction form
417,424/902,912 = 902,912/x - Step 3: Cross multiply
417,424x = 902,912 × 902,912 - Step 4: Simplify right side
417,424x = 815,250,079,744 - Step 5: Solve for x
x = 815,250,079,744/417,424 - Step 6: Final answer
x = 1,953,050.33
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.