Finding the Third Proportional to 409,223 and 889,281
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Solution
The third proportional to 409,223 and 889,281 is: 1,932,493.28
Step by Step Solution
- Step 1: Write the proportion equation
409,223 : 889,281 = 889,281 : x - Step 2: Convert to fraction form
409,223/889,281 = 889,281/x - Step 3: Cross multiply
409,223x = 889,281 × 889,281 - Step 4: Simplify right side
409,223x = 790,820,696,961 - Step 5: Solve for x
x = 790,820,696,961/409,223 - Step 6: Final answer
x = 1,932,493.28
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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.