Finding the Third Proportional to 381,746 and 862,469
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Solution
The third proportional to 381,746 and 862,469 is: 1,948,554.21
Step by Step Solution
- Step 1: Write the proportion equation
381,746 : 862,469 = 862,469 : x - Step 2: Convert to fraction form
381,746/862,469 = 862,469/x - Step 3: Cross multiply
381,746x = 862,469 × 862,469 - Step 4: Simplify right side
381,746x = 743,852,775,961 - Step 5: Solve for x
x = 743,852,775,961/381,746 - Step 6: Final answer
x = 1,948,554.21
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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.