Finding the Third Proportional to 494,108 and 1,077,432
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Solution
The third proportional to 494,108 and 1,077,432 is: 2,349,404.82
Step by Step Solution
- Step 1: Write the proportion equation
494,108 : 1,077,432 = 1,077,432 : x - Step 2: Convert to fraction form
494,108/1,077,432 = 1,077,432/x - Step 3: Cross multiply
494,108x = 1,077,432 × 1,077,432 - Step 4: Simplify right side
494,108x = 1,160,859,714,624 - Step 5: Solve for x
x = 1,160,859,714,624/494,108 - Step 6: Final answer
x = 2,349,404.82
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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.