Finding the Third Proportional to 414,164 and 896,032
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Solution
The third proportional to 414,164 and 896,032 is: 1,938,539.67
Step by Step Solution
- Step 1: Write the proportion equation
414,164 : 896,032 = 896,032 : x - Step 2: Convert to fraction form
414,164/896,032 = 896,032/x - Step 3: Cross multiply
414,164x = 896,032 × 896,032 - Step 4: Simplify right side
414,164x = 802,873,345,024 - Step 5: Solve for x
x = 802,873,345,024/414,164 - Step 6: Final answer
x = 1,938,539.67
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.