Finding the Third Proportional to 408,104 and 881,784
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Solution
The third proportional to 408,104 and 881,784 is: 1,905,257.05
Step by Step Solution
- Step 1: Write the proportion equation
408,104 : 881,784 = 881,784 : x - Step 2: Convert to fraction form
408,104/881,784 = 881,784/x - Step 3: Cross multiply
408,104x = 881,784 × 881,784 - Step 4: Simplify right side
408,104x = 777,543,022,656 - Step 5: Solve for x
x = 777,543,022,656/408,104 - Step 6: Final answer
x = 1,905,257.05
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.