Finding the Third Proportional to 446,744 and 973,813
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Solution
The third proportional to 446,744 and 973,813 is: 2,122,718.51
Step by Step Solution
- Step 1: Write the proportion equation
446,744 : 973,813 = 973,813 : x - Step 2: Convert to fraction form
446,744/973,813 = 973,813/x - Step 3: Cross multiply
446,744x = 973,813 × 973,813 - Step 4: Simplify right side
446,744x = 948,311,758,969 - Step 5: Solve for x
x = 948,311,758,969/446,744 - Step 6: Final answer
x = 2,122,718.51
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.