Finding the Third Proportional to 546,739 and 769,586
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Solution
The third proportional to 546,739 and 769,586 is: 1,083,263.88
Step by Step Solution
- Step 1: Write the proportion equation
546,739 : 769,586 = 769,586 : x - Step 2: Convert to fraction form
546,739/769,586 = 769,586/x - Step 3: Cross multiply
546,739x = 769,586 × 769,586 - Step 4: Simplify right side
546,739x = 592,262,611,396 - Step 5: Solve for x
x = 592,262,611,396/546,739 - Step 6: Final answer
x = 1,083,263.88
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.