Finding the Third Proportional to 447,784 and 946,106
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Solution
The third proportional to 447,784 and 946,106 is: 1,998,991.84
Step by Step Solution
- Step 1: Write the proportion equation
447,784 : 946,106 = 946,106 : x - Step 2: Convert to fraction form
447,784/946,106 = 946,106/x - Step 3: Cross multiply
447,784x = 946,106 × 946,106 - Step 4: Simplify right side
447,784x = 895,116,563,236 - Step 5: Solve for x
x = 895,116,563,236/447,784 - Step 6: Final answer
x = 1,998,991.84
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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.