Finding the Third Proportional to 420,300 and 912,046
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Solution
The third proportional to 420,300 and 912,046 is: 1,979,128.97
Step by Step Solution
- Step 1: Write the proportion equation
420,300 : 912,046 = 912,046 : x - Step 2: Convert to fraction form
420,300/912,046 = 912,046/x - Step 3: Cross multiply
420,300x = 912,046 × 912,046 - Step 4: Simplify right side
420,300x = 831,827,906,116 - Step 5: Solve for x
x = 831,827,906,116/420,300 - Step 6: Final answer
x = 1,979,128.97
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.