Finding the Third Proportional to 828,784 and 1,169,826
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Solution
The third proportional to 828,784 and 1,169,826 is: 1,651,205.71
Step by Step Solution
- Step 1: Write the proportion equation
828,784 : 1,169,826 = 1,169,826 : x - Step 2: Convert to fraction form
828,784/1,169,826 = 1,169,826/x - Step 3: Cross multiply
828,784x = 1,169,826 × 1,169,826 - Step 4: Simplify right side
828,784x = 1,368,492,870,276 - Step 5: Solve for x
x = 1,368,492,870,276/828,784 - Step 6: Final answer
x = 1,651,205.71
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.