Finding the Third Proportional to 532,142 and 1,143,016
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Solution
The third proportional to 532,142 and 1,143,016 is: 2,455,144.63
Step by Step Solution
- Step 1: Write the proportion equation
532,142 : 1,143,016 = 1,143,016 : x - Step 2: Convert to fraction form
532,142/1,143,016 = 1,143,016/x - Step 3: Cross multiply
532,142x = 1,143,016 × 1,143,016 - Step 4: Simplify right side
532,142x = 1,306,485,576,256 - Step 5: Solve for x
x = 1,306,485,576,256/532,142 - Step 6: Final answer
x = 2,455,144.63
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.