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Finding the Third Proportional to 642,876 and 1,400,042

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Solution

The third proportional to 642,876 and 1,400,042 is: 3,048,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,876 : 1,400,042 = 1,400,042 : x
  2. Step 2: Convert to fraction form
    642,876/1,400,042 = 1,400,042/x
  3. Step 3: Cross multiply
    642,876x = 1,400,042 × 1,400,042
  4. Step 4: Simplify right side
    642,876x = 1,960,117,601,764
  5. Step 5: Solve for x
    x = 1,960,117,601,764/642,876
  6. Step 6: Final answer
    x = 3,048,982.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.