Finding the Third Proportional to 427,608 and 923,012
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Solution
The third proportional to 427,608 and 923,012 is: 1,992,364.86
Step by Step Solution
- Step 1: Write the proportion equation
427,608 : 923,012 = 923,012 : x - Step 2: Convert to fraction form
427,608/923,012 = 923,012/x - Step 3: Cross multiply
427,608x = 923,012 × 923,012 - Step 4: Simplify right side
427,608x = 851,951,152,144 - Step 5: Solve for x
x = 851,951,152,144/427,608 - Step 6: Final answer
x = 1,992,364.86
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.