Finding the Third Proportional to 414,449 and 916,003
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Solution
The third proportional to 414,449 and 916,003 is: 2,024,522.91
Step by Step Solution
- Step 1: Write the proportion equation
414,449 : 916,003 = 916,003 : x - Step 2: Convert to fraction form
414,449/916,003 = 916,003/x - Step 3: Cross multiply
414,449x = 916,003 × 916,003 - Step 4: Simplify right side
414,449x = 839,061,496,009 - Step 5: Solve for x
x = 839,061,496,009/414,449 - Step 6: Final answer
x = 2,024,522.91
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.