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Finding the Third Proportional to 642,942 and 1,400,172

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Solution

The third proportional to 642,942 and 1,400,172 is: 3,049,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,942 : 1,400,172 = 1,400,172 : x
  2. Step 2: Convert to fraction form
    642,942/1,400,172 = 1,400,172/x
  3. Step 3: Cross multiply
    642,942x = 1,400,172 × 1,400,172
  4. Step 4: Simplify right side
    642,942x = 1,960,481,629,584
  5. Step 5: Solve for x
    x = 1,960,481,629,584/642,942
  6. Step 6: Final answer
    x = 3,049,235.59

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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.