Finding the Third Proportional to 498,494 and 1,087,213
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Solution
The third proportional to 498,494 and 1,087,213 is: 2,371,206.29
Step by Step Solution
- Step 1: Write the proportion equation
498,494 : 1,087,213 = 1,087,213 : x - Step 2: Convert to fraction form
498,494/1,087,213 = 1,087,213/x - Step 3: Cross multiply
498,494x = 1,087,213 × 1,087,213 - Step 4: Simplify right side
498,494x = 1,182,032,107,369 - Step 5: Solve for x
x = 1,182,032,107,369/498,494 - Step 6: Final answer
x = 2,371,206.29
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.