Finding the Third Proportional to 399,920 and 869,824
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Solution
The third proportional to 399,920 and 869,824 is: 1,891,862.85
Step by Step Solution
- Step 1: Write the proportion equation
399,920 : 869,824 = 869,824 : x - Step 2: Convert to fraction form
399,920/869,824 = 869,824/x - Step 3: Cross multiply
399,920x = 869,824 × 869,824 - Step 4: Simplify right side
399,920x = 756,593,790,976 - Step 5: Solve for x
x = 756,593,790,976/399,920 - Step 6: Final answer
x = 1,891,862.85
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.