Finding the Third Proportional to 431,424 and 940,714
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Solution
The third proportional to 431,424 and 940,714 is: 2,051,213.72
Step by Step Solution
- Step 1: Write the proportion equation
431,424 : 940,714 = 940,714 : x - Step 2: Convert to fraction form
431,424/940,714 = 940,714/x - Step 3: Cross multiply
431,424x = 940,714 × 940,714 - Step 4: Simplify right side
431,424x = 884,942,829,796 - Step 5: Solve for x
x = 884,942,829,796/431,424 - Step 6: Final answer
x = 2,051,213.72
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.