Finding the Third Proportional to 447,812 and 946,164
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Solution
The third proportional to 447,812 and 946,164 is: 1,999,111.94
Step by Step Solution
- Step 1: Write the proportion equation
447,812 : 946,164 = 946,164 : x - Step 2: Convert to fraction form
447,812/946,164 = 946,164/x - Step 3: Cross multiply
447,812x = 946,164 × 946,164 - Step 4: Simplify right side
447,812x = 895,226,314,896 - Step 5: Solve for x
x = 895,226,314,896/447,812 - Step 6: Final answer
x = 1,999,111.94
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.