Finding the Third Proportional to 731,884 and 1,142,088
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Solution
The third proportional to 731,884 and 1,142,088 is: 1,782,201.82
Step by Step Solution
- Step 1: Write the proportion equation
731,884 : 1,142,088 = 1,142,088 : x - Step 2: Convert to fraction form
731,884/1,142,088 = 1,142,088/x - Step 3: Cross multiply
731,884x = 1,142,088 × 1,142,088 - Step 4: Simplify right side
731,884x = 1,304,364,999,744 - Step 5: Solve for x
x = 1,304,364,999,744/731,884 - Step 6: Final answer
x = 1,782,201.82
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.