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Finding the Third Proportional to 498,907 and 1,094,390

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Solution

The third proportional to 498,907 and 1,094,390 is: 2,400,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,907 : 1,094,390 = 1,094,390 : x
  2. Step 2: Convert to fraction form
    498,907/1,094,390 = 1,094,390/x
  3. Step 3: Cross multiply
    498,907x = 1,094,390 × 1,094,390
  4. Step 4: Simplify right side
    498,907x = 1,197,689,472,100
  5. Step 5: Solve for x
    x = 1,197,689,472,100/498,907
  6. Step 6: Final answer
    x = 2,400,626.71

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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.