Finding the Third Proportional to 449,870 and 978,470
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Solution
The third proportional to 449,870 and 978,470 is: 2,128,178.23
Step by Step Solution
- Step 1: Write the proportion equation
449,870 : 978,470 = 978,470 : x - Step 2: Convert to fraction form
449,870/978,470 = 978,470/x - Step 3: Cross multiply
449,870x = 978,470 × 978,470 - Step 4: Simplify right side
449,870x = 957,403,540,900 - Step 5: Solve for x
x = 957,403,540,900/449,870 - Step 6: Final answer
x = 2,128,178.23
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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.