Finding the Third Proportional to 509,264 and 1,109,836
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Solution
The third proportional to 509,264 and 1,109,836 is: 2,418,658.98
Step by Step Solution
- Step 1: Write the proportion equation
509,264 : 1,109,836 = 1,109,836 : x - Step 2: Convert to fraction form
509,264/1,109,836 = 1,109,836/x - Step 3: Cross multiply
509,264x = 1,109,836 × 1,109,836 - Step 4: Simplify right side
509,264x = 1,231,735,946,896 - Step 5: Solve for x
x = 1,231,735,946,896/509,264 - Step 6: Final answer
x = 2,418,658.98
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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.