Finding the Third Proportional to 413,404 and 885,854
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Solution
The third proportional to 413,404 and 885,854 is: 1,898,233.47
Step by Step Solution
- Step 1: Write the proportion equation
413,404 : 885,854 = 885,854 : x - Step 2: Convert to fraction form
413,404/885,854 = 885,854/x - Step 3: Cross multiply
413,404x = 885,854 × 885,854 - Step 4: Simplify right side
413,404x = 784,737,309,316 - Step 5: Solve for x
x = 784,737,309,316/413,404 - Step 6: Final answer
x = 1,898,233.47
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.