Finding the Third Proportional to 428,749 and 914,454
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Solution
The third proportional to 428,749 and 914,454 is: 1,950,386.17
Step by Step Solution
- Step 1: Write the proportion equation
428,749 : 914,454 = 914,454 : x - Step 2: Convert to fraction form
428,749/914,454 = 914,454/x - Step 3: Cross multiply
428,749x = 914,454 × 914,454 - Step 4: Simplify right side
428,749x = 836,226,118,116 - Step 5: Solve for x
x = 836,226,118,116/428,749 - Step 6: Final answer
x = 1,950,386.17
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.