Finding the Third Proportional to 498,492 and 1,087,209
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Solution
The third proportional to 498,492 and 1,087,209 is: 2,371,198.35
Step by Step Solution
- Step 1: Write the proportion equation
498,492 : 1,087,209 = 1,087,209 : x - Step 2: Convert to fraction form
498,492/1,087,209 = 1,087,209/x - Step 3: Cross multiply
498,492x = 1,087,209 × 1,087,209 - Step 4: Simplify right side
498,492x = 1,182,023,409,681 - Step 5: Solve for x
x = 1,182,023,409,681/498,492 - Step 6: Final answer
x = 2,371,198.35
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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.