Finding the Third Proportional to 428,412 and 923,016
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Solution
The third proportional to 428,412 and 923,016 is: 1,988,643.03
Step by Step Solution
- Step 1: Write the proportion equation
428,412 : 923,016 = 923,016 : x - Step 2: Convert to fraction form
428,412/923,016 = 923,016/x - Step 3: Cross multiply
428,412x = 923,016 × 923,016 - Step 4: Simplify right side
428,412x = 851,958,536,256 - Step 5: Solve for x
x = 851,958,536,256/428,412 - Step 6: Final answer
x = 1,988,643.03
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.