Finding the Third Proportional to 531,508 and 1,146,496
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Solution
The third proportional to 531,508 and 1,146,496 is: 2,473,063.58
Step by Step Solution
- Step 1: Write the proportion equation
531,508 : 1,146,496 = 1,146,496 : x - Step 2: Convert to fraction form
531,508/1,146,496 = 1,146,496/x - Step 3: Cross multiply
531,508x = 1,146,496 × 1,146,496 - Step 4: Simplify right side
531,508x = 1,314,453,078,016 - Step 5: Solve for x
x = 1,314,453,078,016/531,508 - Step 6: Final answer
x = 2,473,063.58
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.