Finding the Third Proportional to 397,614 and 852,012
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Solution
The third proportional to 397,614 and 852,012 is: 1,825,701.43
Step by Step Solution
- Step 1: Write the proportion equation
397,614 : 852,012 = 852,012 : x - Step 2: Convert to fraction form
397,614/852,012 = 852,012/x - Step 3: Cross multiply
397,614x = 852,012 × 852,012 - Step 4: Simplify right side
397,614x = 725,924,448,144 - Step 5: Solve for x
x = 725,924,448,144/397,614 - Step 6: Final answer
x = 1,825,701.43
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.