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Finding the Third Proportional to 498,901.50 and 1,097,454

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Solution

The third proportional to 498,901.50 and 1,097,454 is: 2,414,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,901.50 : 1,097,454 = 1,097,454 : x
  2. Step 2: Convert to fraction form
    498,901.50/1,097,454 = 1,097,454/x
  3. Step 3: Cross multiply
    498,901.50x = 1,097,454 × 1,097,454
  4. Step 4: Simplify right side
    498,901.50x = 1,204,405,282,116
  5. Step 5: Solve for x
    x = 1,204,405,282,116/498,901.50
  6. Step 6: Final answer
    x = 2,414,114.37

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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.