Finding the Third Proportional to 647,042 and 1,405,863
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Solution
The third proportional to 647,042 and 1,405,863 is: 3,054,594.25
Step by Step Solution
- Step 1: Write the proportion equation
647,042 : 1,405,863 = 1,405,863 : x - Step 2: Convert to fraction form
647,042/1,405,863 = 1,405,863/x - Step 3: Cross multiply
647,042x = 1,405,863 × 1,405,863 - Step 4: Simplify right side
647,042x = 1,976,450,774,769 - Step 5: Solve for x
x = 1,976,450,774,769/647,042 - Step 6: Final answer
x = 3,054,594.25
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.