Finding the Third Proportional to 407,830 and 885,724
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Solution
The third proportional to 407,830 and 885,724 is: 1,923,612.79
Step by Step Solution
- Step 1: Write the proportion equation
407,830 : 885,724 = 885,724 : x - Step 2: Convert to fraction form
407,830/885,724 = 885,724/x - Step 3: Cross multiply
407,830x = 885,724 × 885,724 - Step 4: Simplify right side
407,830x = 784,507,004,176 - Step 5: Solve for x
x = 784,507,004,176/407,830 - Step 6: Final answer
x = 1,923,612.79
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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.