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Finding the Third Proportional to 498,900 and 1,097,448

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Solution

The third proportional to 498,900 and 1,097,448 is: 2,414,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,900 : 1,097,448 = 1,097,448 : x
  2. Step 2: Convert to fraction form
    498,900/1,097,448 = 1,097,448/x
  3. Step 3: Cross multiply
    498,900x = 1,097,448 × 1,097,448
  4. Step 4: Simplify right side
    498,900x = 1,204,392,112,704
  5. Step 5: Solve for x
    x = 1,204,392,112,704/498,900
  6. Step 6: Final answer
    x = 2,414,095.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.