Finding the Third Proportional to 469,640 and 1,023,642
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Solution
The third proportional to 469,640 and 1,023,642 is: 2,231,162.05
Step by Step Solution
- Step 1: Write the proportion equation
469,640 : 1,023,642 = 1,023,642 : x - Step 2: Convert to fraction form
469,640/1,023,642 = 1,023,642/x - Step 3: Cross multiply
469,640x = 1,023,642 × 1,023,642 - Step 4: Simplify right side
469,640x = 1,047,842,944,164 - Step 5: Solve for x
x = 1,047,842,944,164/469,640 - Step 6: Final answer
x = 2,231,162.05
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.