Finding the Third Proportional to 784,856 and 1,215,012
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Solution
The third proportional to 784,856 and 1,215,012 is: 1,880,923.58
Step by Step Solution
- Step 1: Write the proportion equation
784,856 : 1,215,012 = 1,215,012 : x - Step 2: Convert to fraction form
784,856/1,215,012 = 1,215,012/x - Step 3: Cross multiply
784,856x = 1,215,012 × 1,215,012 - Step 4: Simplify right side
784,856x = 1,476,254,160,144 - Step 5: Solve for x
x = 1,476,254,160,144/784,856 - Step 6: Final answer
x = 1,880,923.58
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.