Finding the Third Proportional to 420,714 and 905,580
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Solution
The third proportional to 420,714 and 905,580 is: 1,949,246.13
Step by Step Solution
- Step 1: Write the proportion equation
420,714 : 905,580 = 905,580 : x - Step 2: Convert to fraction form
420,714/905,580 = 905,580/x - Step 3: Cross multiply
420,714x = 905,580 × 905,580 - Step 4: Simplify right side
420,714x = 820,075,136,400 - Step 5: Solve for x
x = 820,075,136,400/420,714 - Step 6: Final answer
x = 1,949,246.13
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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.