Finding the Third Proportional to 533,456 and 1,162,774
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Solution
The third proportional to 533,456 and 1,162,774 is: 2,534,498.39
Step by Step Solution
- Step 1: Write the proportion equation
533,456 : 1,162,774 = 1,162,774 : x - Step 2: Convert to fraction form
533,456/1,162,774 = 1,162,774/x - Step 3: Cross multiply
533,456x = 1,162,774 × 1,162,774 - Step 4: Simplify right side
533,456x = 1,352,043,375,076 - Step 5: Solve for x
x = 1,352,043,375,076/533,456 - Step 6: Final answer
x = 2,534,498.39
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.