Finding the Third Proportional to 832,384 and 1,791,097
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Solution
The third proportional to 832,384 and 1,791,097 is: 3,854,024.66
Step by Step Solution
- Step 1: Write the proportion equation
832,384 : 1,791,097 = 1,791,097 : x - Step 2: Convert to fraction form
832,384/1,791,097 = 1,791,097/x - Step 3: Cross multiply
832,384x = 1,791,097 × 1,791,097 - Step 4: Simplify right side
832,384x = 3,208,028,463,409 - Step 5: Solve for x
x = 3,208,028,463,409/832,384 - Step 6: Final answer
x = 3,854,024.66
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.