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Finding the Third Proportional to 493,452 and 1,063,728

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Solution

The third proportional to 493,452 and 1,063,728 is: 2,293,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,452 : 1,063,728 = 1,063,728 : x
  2. Step 2: Convert to fraction form
    493,452/1,063,728 = 1,063,728/x
  3. Step 3: Cross multiply
    493,452x = 1,063,728 × 1,063,728
  4. Step 4: Simplify right side
    493,452x = 1,131,517,257,984
  5. Step 5: Solve for x
    x = 1,131,517,257,984/493,452
  6. Step 6: Final answer
    x = 2,293,064.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.