Finding the Third Proportional to 419,805 and 905,940
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Solution
The third proportional to 419,805 and 905,940 is: 1,955,020.27
Step by Step Solution
- Step 1: Write the proportion equation
419,805 : 905,940 = 905,940 : x - Step 2: Convert to fraction form
419,805/905,940 = 905,940/x - Step 3: Cross multiply
419,805x = 905,940 × 905,940 - Step 4: Simplify right side
419,805x = 820,727,283,600 - Step 5: Solve for x
x = 820,727,283,600/419,805 - Step 6: Final answer
x = 1,955,020.27
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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.