Finding the Third Proportional to 420,714 and 923,076
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Solution
The third proportional to 420,714 and 923,076 is: 2,025,293.43
Step by Step Solution
- Step 1: Write the proportion equation
420,714 : 923,076 = 923,076 : x - Step 2: Convert to fraction form
420,714/923,076 = 923,076/x - Step 3: Cross multiply
420,714x = 923,076 × 923,076 - Step 4: Simplify right side
420,714x = 852,069,301,776 - Step 5: Solve for x
x = 852,069,301,776/420,714 - Step 6: Final answer
x = 2,025,293.43
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.