Finding the Third Proportional to 809,462 and 1,187,949
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Solution
The third proportional to 809,462 and 1,187,949 is: 1,743,408.37
Step by Step Solution
- Step 1: Write the proportion equation
809,462 : 1,187,949 = 1,187,949 : x - Step 2: Convert to fraction form
809,462/1,187,949 = 1,187,949/x - Step 3: Cross multiply
809,462x = 1,187,949 × 1,187,949 - Step 4: Simplify right side
809,462x = 1,411,222,826,601 - Step 5: Solve for x
x = 1,411,222,826,601/809,462 - Step 6: Final answer
x = 1,743,408.37
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.