Finding the Third Proportional to 415,912 and 851,497
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Solution
The third proportional to 415,912 and 851,497 is: 1,743,270.55
Step by Step Solution
- Step 1: Write the proportion equation
415,912 : 851,497 = 851,497 : x - Step 2: Convert to fraction form
415,912/851,497 = 851,497/x - Step 3: Cross multiply
415,912x = 851,497 × 851,497 - Step 4: Simplify right side
415,912x = 725,047,141,009 - Step 5: Solve for x
x = 725,047,141,009/415,912 - Step 6: Final answer
x = 1,743,270.55
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.