Finding the Third Proportional to 419,547 and 905,433
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Solution
The third proportional to 419,547 and 905,433 is: 1,954,033.56
Step by Step Solution
- Step 1: Write the proportion equation
419,547 : 905,433 = 905,433 : x - Step 2: Convert to fraction form
419,547/905,433 = 905,433/x - Step 3: Cross multiply
419,547x = 905,433 × 905,433 - Step 4: Simplify right side
419,547x = 819,808,917,489 - Step 5: Solve for x
x = 819,808,917,489/419,547 - Step 6: Final answer
x = 1,954,033.56
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.