Finding the Third Proportional to 419,828 and 905,992
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Solution
The third proportional to 419,828 and 905,992 is: 1,955,137.59
Step by Step Solution
- Step 1: Write the proportion equation
419,828 : 905,992 = 905,992 : x - Step 2: Convert to fraction form
419,828/905,992 = 905,992/x - Step 3: Cross multiply
419,828x = 905,992 × 905,992 - Step 4: Simplify right side
419,828x = 820,821,504,064 - Step 5: Solve for x
x = 820,821,504,064/419,828 - Step 6: Final answer
x = 1,955,137.59
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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.