Finding the Third Proportional to 513,456 and 1,144,968
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Solution
The third proportional to 513,456 and 1,144,968 is: 2,553,191.94
Step by Step Solution
- Step 1: Write the proportion equation
513,456 : 1,144,968 = 1,144,968 : x - Step 2: Convert to fraction form
513,456/1,144,968 = 1,144,968/x - Step 3: Cross multiply
513,456x = 1,144,968 × 1,144,968 - Step 4: Simplify right side
513,456x = 1,310,951,721,024 - Step 5: Solve for x
x = 1,310,951,721,024/513,456 - Step 6: Final answer
x = 2,553,191.94
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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.