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Finding the Third Proportional to 499,296 and 1,068,576

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Solution

The third proportional to 499,296 and 1,068,576 is: 2,286,929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,296 : 1,068,576 = 1,068,576 : x
  2. Step 2: Convert to fraction form
    499,296/1,068,576 = 1,068,576/x
  3. Step 3: Cross multiply
    499,296x = 1,068,576 × 1,068,576
  4. Step 4: Simplify right side
    499,296x = 1,141,854,667,776
  5. Step 5: Solve for x
    x = 1,141,854,667,776/499,296
  6. Step 6: Final answer
    x = 2,286,929.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.