Finding the Third Proportional to 409,662 and 839,004
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Solution
The third proportional to 409,662 and 839,004 is: 1,718,313.42
Step by Step Solution
- Step 1: Write the proportion equation
409,662 : 839,004 = 839,004 : x - Step 2: Convert to fraction form
409,662/839,004 = 839,004/x - Step 3: Cross multiply
409,662x = 839,004 × 839,004 - Step 4: Simplify right side
409,662x = 703,927,712,016 - Step 5: Solve for x
x = 703,927,712,016/409,662 - Step 6: Final answer
x = 1,718,313.42
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.