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Finding the Third Proportional to 492,606 and 1,062,161

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Solution

The third proportional to 492,606 and 1,062,161 is: 2,290,240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,606 : 1,062,161 = 1,062,161 : x
  2. Step 2: Convert to fraction form
    492,606/1,062,161 = 1,062,161/x
  3. Step 3: Cross multiply
    492,606x = 1,062,161 × 1,062,161
  4. Step 4: Simplify right side
    492,606x = 1,128,185,989,921
  5. Step 5: Solve for x
    x = 1,128,185,989,921/492,606
  6. Step 6: Final answer
    x = 2,290,240.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.