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Finding the Third Proportional to 493,344 and 1,078,000

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Solution

The third proportional to 493,344 and 1,078,000 is: 2,355,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,344 : 1,078,000 = 1,078,000 : x
  2. Step 2: Convert to fraction form
    493,344/1,078,000 = 1,078,000/x
  3. Step 3: Cross multiply
    493,344x = 1,078,000 × 1,078,000
  4. Step 4: Simplify right side
    493,344x = 1,162,084,000,000
  5. Step 5: Solve for x
    x = 1,162,084,000,000/493,344
  6. Step 6: Final answer
    x = 2,355,524.75

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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.