Finding the Third Proportional to 411,200 and 896,944
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Solution
The third proportional to 411,200 and 896,944 is: 1,956,489.64
Step by Step Solution
- Step 1: Write the proportion equation
411,200 : 896,944 = 896,944 : x - Step 2: Convert to fraction form
411,200/896,944 = 896,944/x - Step 3: Cross multiply
411,200x = 896,944 × 896,944 - Step 4: Simplify right side
411,200x = 804,508,539,136 - Step 5: Solve for x
x = 804,508,539,136/411,200 - Step 6: Final answer
x = 1,956,489.64
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.