Finding the Third Proportional to 407,434 and 896,092
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Solution
The third proportional to 407,434 and 896,092 is: 1,970,824.41
Step by Step Solution
- Step 1: Write the proportion equation
407,434 : 896,092 = 896,092 : x - Step 2: Convert to fraction form
407,434/896,092 = 896,092/x - Step 3: Cross multiply
407,434x = 896,092 × 896,092 - Step 4: Simplify right side
407,434x = 802,980,872,464 - Step 5: Solve for x
x = 802,980,872,464/407,434 - Step 6: Final answer
x = 1,970,824.41
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.