Finding the Third Proportional to 489,716 and 1,023,712
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Solution
The third proportional to 489,716 and 1,023,712 is: 2,139,987.79
Step by Step Solution
- Step 1: Write the proportion equation
489,716 : 1,023,712 = 1,023,712 : x - Step 2: Convert to fraction form
489,716/1,023,712 = 1,023,712/x - Step 3: Cross multiply
489,716x = 1,023,712 × 1,023,712 - Step 4: Simplify right side
489,716x = 1,047,986,258,944 - Step 5: Solve for x
x = 1,047,986,258,944/489,716 - Step 6: Final answer
x = 2,139,987.79
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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.