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Finding the Third Proportional to 429,968 and 1,004,042

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Solution

The third proportional to 429,968 and 1,004,042 is: 2,344,593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,968 : 1,004,042 = 1,004,042 : x
  2. Step 2: Convert to fraction form
    429,968/1,004,042 = 1,004,042/x
  3. Step 3: Cross multiply
    429,968x = 1,004,042 × 1,004,042
  4. Step 4: Simplify right side
    429,968x = 1,008,100,337,764
  5. Step 5: Solve for x
    x = 1,008,100,337,764/429,968
  6. Step 6: Final answer
    x = 2,344,593.87

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.