Finding the Third Proportional to 471,920 and 1,026,784
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Solution
The third proportional to 471,920 and 1,026,784 is: 2,234,034.12
Step by Step Solution
- Step 1: Write the proportion equation
471,920 : 1,026,784 = 1,026,784 : x - Step 2: Convert to fraction form
471,920/1,026,784 = 1,026,784/x - Step 3: Cross multiply
471,920x = 1,026,784 × 1,026,784 - Step 4: Simplify right side
471,920x = 1,054,285,382,656 - Step 5: Solve for x
x = 1,054,285,382,656/471,920 - Step 6: Final answer
x = 2,234,034.12
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.