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Finding the Third Proportional to 1,378,440 and 2,014,194

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Solution

The third proportional to 1,378,440 and 2,014,194 is: 2,943,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,440 : 2,014,194 = 2,014,194 : x
  2. Step 2: Convert to fraction form
    1,378,440/2,014,194 = 2,014,194/x
  3. Step 3: Cross multiply
    1,378,440x = 2,014,194 × 2,014,194
  4. Step 4: Simplify right side
    1,378,440x = 4,056,977,469,636
  5. Step 5: Solve for x
    x = 4,056,977,469,636/1,378,440
  6. Step 6: Final answer
    x = 2,943,165.80

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.