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Finding the Third Proportional to 422,926 and 929,968

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Solution

The third proportional to 422,926 and 929,968 is: 2,044,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,926 : 929,968 = 929,968 : x
  2. Step 2: Convert to fraction form
    422,926/929,968 = 929,968/x
  3. Step 3: Cross multiply
    422,926x = 929,968 × 929,968
  4. Step 4: Simplify right side
    422,926x = 864,840,481,024
  5. Step 5: Solve for x
    x = 864,840,481,024/422,926
  6. Step 6: Final answer
    x = 2,044,897.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.