Finding the Third Proportional to 427,446 and 902,952
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Solution
The third proportional to 427,446 and 902,952 is: 1,907,427.64
Step by Step Solution
- Step 1: Write the proportion equation
427,446 : 902,952 = 902,952 : x - Step 2: Convert to fraction form
427,446/902,952 = 902,952/x - Step 3: Cross multiply
427,446x = 902,952 × 902,952 - Step 4: Simplify right side
427,446x = 815,322,314,304 - Step 5: Solve for x
x = 815,322,314,304/427,446 - Step 6: Final answer
x = 1,907,427.64
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.