Finding the Third Proportional to 657,534 and 1,416,642
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Solution
The third proportional to 657,534 and 1,416,642 is: 3,052,122.87
Step by Step Solution
- Step 1: Write the proportion equation
657,534 : 1,416,642 = 1,416,642 : x - Step 2: Convert to fraction form
657,534/1,416,642 = 1,416,642/x - Step 3: Cross multiply
657,534x = 1,416,642 × 1,416,642 - Step 4: Simplify right side
657,534x = 2,006,874,556,164 - Step 5: Solve for x
x = 2,006,874,556,164/657,534 - Step 6: Final answer
x = 3,052,122.87
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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.