Finding the Third Proportional to 377,912 and 829,543
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Solution
The third proportional to 377,912 and 829,543 is: 1,820,904.31
Step by Step Solution
- Step 1: Write the proportion equation
377,912 : 829,543 = 829,543 : x - Step 2: Convert to fraction form
377,912/829,543 = 829,543/x - Step 3: Cross multiply
377,912x = 829,543 × 829,543 - Step 4: Simplify right side
377,912x = 688,141,588,849 - Step 5: Solve for x
x = 688,141,588,849/377,912 - Step 6: Final answer
x = 1,820,904.31
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.