Finding the Third Proportional to 462,870 and 1,014,512
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Solution
The third proportional to 462,870 and 1,014,512 is: 2,223,593.23
Step by Step Solution
- Step 1: Write the proportion equation
462,870 : 1,014,512 = 1,014,512 : x - Step 2: Convert to fraction form
462,870/1,014,512 = 1,014,512/x - Step 3: Cross multiply
462,870x = 1,014,512 × 1,014,512 - Step 4: Simplify right side
462,870x = 1,029,234,598,144 - Step 5: Solve for x
x = 1,029,234,598,144/462,870 - Step 6: Final answer
x = 2,223,593.23
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.