Finding the Third Proportional to 491,736 and 741,066
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Solution
The third proportional to 491,736 and 741,066 is: 1,116,816.37
Step by Step Solution
- Step 1: Write the proportion equation
491,736 : 741,066 = 741,066 : x - Step 2: Convert to fraction form
491,736/741,066 = 741,066/x - Step 3: Cross multiply
491,736x = 741,066 × 741,066 - Step 4: Simplify right side
491,736x = 549,178,816,356 - Step 5: Solve for x
x = 549,178,816,356/491,736 - Step 6: Final answer
x = 1,116,816.37
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.