Finding the Third Proportional to 405,137 and 860,215
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Solution
The third proportional to 405,137 and 860,215 is: 1,826,468.20
Step by Step Solution
- Step 1: Write the proportion equation
405,137 : 860,215 = 860,215 : x - Step 2: Convert to fraction form
405,137/860,215 = 860,215/x - Step 3: Cross multiply
405,137x = 860,215 × 860,215 - Step 4: Simplify right side
405,137x = 739,969,846,225 - Step 5: Solve for x
x = 739,969,846,225/405,137 - Step 6: Final answer
x = 1,826,468.20
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.