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Finding the Third Proportional to 498,914 and 1,094,450

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Solution

The third proportional to 498,914 and 1,094,450 is: 2,400,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,914 : 1,094,450 = 1,094,450 : x
  2. Step 2: Convert to fraction form
    498,914/1,094,450 = 1,094,450/x
  3. Step 3: Cross multiply
    498,914x = 1,094,450 × 1,094,450
  4. Step 4: Simplify right side
    498,914x = 1,197,820,802,500
  5. Step 5: Solve for x
    x = 1,197,820,802,500/498,914
  6. Step 6: Final answer
    x = 2,400,856.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.