Finding the Third Proportional to 407,007 and 868,049
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Solution
The third proportional to 407,007 and 868,049 is: 1,851,341.79
Step by Step Solution
- Step 1: Write the proportion equation
407,007 : 868,049 = 868,049 : x - Step 2: Convert to fraction form
407,007/868,049 = 868,049/x - Step 3: Cross multiply
407,007x = 868,049 × 868,049 - Step 4: Simplify right side
407,007x = 753,509,066,401 - Step 5: Solve for x
x = 753,509,066,401/407,007 - Step 6: Final answer
x = 1,851,341.79
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.