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Finding the Third Proportional to 498,152 and 1,080,974

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Solution

The third proportional to 498,152 and 1,080,974 is: 2,345,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,152 : 1,080,974 = 1,080,974 : x
  2. Step 2: Convert to fraction form
    498,152/1,080,974 = 1,080,974/x
  3. Step 3: Cross multiply
    498,152x = 1,080,974 × 1,080,974
  4. Step 4: Simplify right side
    498,152x = 1,168,504,788,676
  5. Step 5: Solve for x
    x = 1,168,504,788,676/498,152
  6. Step 6: Final answer
    x = 2,345,679.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.