Finding the Third Proportional to 411,860 and 902,452
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Solution
The third proportional to 411,860 and 902,452 is: 1,977,418.57
Step by Step Solution
- Step 1: Write the proportion equation
411,860 : 902,452 = 902,452 : x - Step 2: Convert to fraction form
411,860/902,452 = 902,452/x - Step 3: Cross multiply
411,860x = 902,452 × 902,452 - Step 4: Simplify right side
411,860x = 814,419,612,304 - Step 5: Solve for x
x = 814,419,612,304/411,860 - Step 6: Final answer
x = 1,977,418.57
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.