Finding the Third Proportional to 523,234 and 1,093,844
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Solution
The third proportional to 523,234 and 1,093,844 is: 2,286,729.64
Step by Step Solution
- Step 1: Write the proportion equation
523,234 : 1,093,844 = 1,093,844 : x - Step 2: Convert to fraction form
523,234/1,093,844 = 1,093,844/x - Step 3: Cross multiply
523,234x = 1,093,844 × 1,093,844 - Step 4: Simplify right side
523,234x = 1,196,494,696,336 - Step 5: Solve for x
x = 1,196,494,696,336/523,234 - Step 6: Final answer
x = 2,286,729.64
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.