Finding the Third Proportional to 829,682 and 1,809,530
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Solution
The third proportional to 829,682 and 1,809,530 is: 3,946,570.88
Step by Step Solution
- Step 1: Write the proportion equation
829,682 : 1,809,530 = 1,809,530 : x - Step 2: Convert to fraction form
829,682/1,809,530 = 1,809,530/x - Step 3: Cross multiply
829,682x = 1,809,530 × 1,809,530 - Step 4: Simplify right side
829,682x = 3,274,398,820,900 - Step 5: Solve for x
x = 3,274,398,820,900/829,682 - Step 6: Final answer
x = 3,946,570.88
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.