Finding the Third Proportional to 670,016 and 1,460,496
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Solution
The third proportional to 670,016 and 1,460,496 is: 3,183,578.55
Step by Step Solution
- Step 1: Write the proportion equation
670,016 : 1,460,496 = 1,460,496 : x - Step 2: Convert to fraction form
670,016/1,460,496 = 1,460,496/x - Step 3: Cross multiply
670,016x = 1,460,496 × 1,460,496 - Step 4: Simplify right side
670,016x = 2,133,048,566,016 - Step 5: Solve for x
x = 2,133,048,566,016/670,016 - Step 6: Final answer
x = 3,183,578.55
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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.