Finding the Third Proportional to 825,718 and 1,162,796
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Solution
The third proportional to 825,718 and 1,162,796 is: 1,637,477.37
Step by Step Solution
- Step 1: Write the proportion equation
825,718 : 1,162,796 = 1,162,796 : x - Step 2: Convert to fraction form
825,718/1,162,796 = 1,162,796/x - Step 3: Cross multiply
825,718x = 1,162,796 × 1,162,796 - Step 4: Simplify right side
825,718x = 1,352,094,537,616 - Step 5: Solve for x
x = 1,352,094,537,616/825,718 - Step 6: Final answer
x = 1,637,477.37
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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.