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Finding the Third Proportional to 498,405 and 1,062,054

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Solution

The third proportional to 498,405 and 1,062,054 is: 2,263,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,405 : 1,062,054 = 1,062,054 : x
  2. Step 2: Convert to fraction form
    498,405/1,062,054 = 1,062,054/x
  3. Step 3: Cross multiply
    498,405x = 1,062,054 × 1,062,054
  4. Step 4: Simplify right side
    498,405x = 1,127,958,698,916
  5. Step 5: Solve for x
    x = 1,127,958,698,916/498,405
  6. Step 6: Final answer
    x = 2,263,136.80

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.