Finding the Third Proportional to 591,822 and 837,411
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Solution
The third proportional to 591,822 and 837,411 is: 1,184,912.33
Step by Step Solution
- Step 1: Write the proportion equation
591,822 : 837,411 = 837,411 : x - Step 2: Convert to fraction form
591,822/837,411 = 837,411/x - Step 3: Cross multiply
591,822x = 837,411 × 837,411 - Step 4: Simplify right side
591,822x = 701,257,182,921 - Step 5: Solve for x
x = 701,257,182,921/591,822 - Step 6: Final answer
x = 1,184,912.33
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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.