Finding the Third Proportional to 471,924 and 1,022,582
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Solution
The third proportional to 471,924 and 1,022,582 is: 2,215,767.68
Step by Step Solution
- Step 1: Write the proportion equation
471,924 : 1,022,582 = 1,022,582 : x - Step 2: Convert to fraction form
471,924/1,022,582 = 1,022,582/x - Step 3: Cross multiply
471,924x = 1,022,582 × 1,022,582 - Step 4: Simplify right side
471,924x = 1,045,673,946,724 - Step 5: Solve for x
x = 1,045,673,946,724/471,924 - Step 6: Final answer
x = 2,215,767.68
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.