Finding the Third Proportional to 545,947 and 1,186,205
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Solution
The third proportional to 545,947 and 1,186,205 is: 2,577,323.99
Step by Step Solution
- Step 1: Write the proportion equation
545,947 : 1,186,205 = 1,186,205 : x - Step 2: Convert to fraction form
545,947/1,186,205 = 1,186,205/x - Step 3: Cross multiply
545,947x = 1,186,205 × 1,186,205 - Step 4: Simplify right side
545,947x = 1,407,082,302,025 - Step 5: Solve for x
x = 1,407,082,302,025/545,947 - Step 6: Final answer
x = 2,577,323.99
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.