Finding the Third Proportional to 447,714 and 973,323
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Solution
The third proportional to 447,714 and 973,323 is: 2,115,988.47
Step by Step Solution
- Step 1: Write the proportion equation
447,714 : 973,323 = 973,323 : x - Step 2: Convert to fraction form
447,714/973,323 = 973,323/x - Step 3: Cross multiply
447,714x = 973,323 × 973,323 - Step 4: Simplify right side
447,714x = 947,357,662,329 - Step 5: Solve for x
x = 947,357,662,329/447,714 - Step 6: Final answer
x = 2,115,988.47
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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.