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Finding the Third Proportional to 1,438,914 and 2,078,814

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Solution

The third proportional to 1,438,914 and 2,078,814 is: 3,003,284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438,914 : 2,078,814 = 2,078,814 : x
  2. Step 2: Convert to fraction form
    1,438,914/2,078,814 = 2,078,814/x
  3. Step 3: Cross multiply
    1,438,914x = 2,078,814 × 2,078,814
  4. Step 4: Simplify right side
    1,438,914x = 4,321,467,646,596
  5. Step 5: Solve for x
    x = 4,321,467,646,596/1,438,914
  6. Step 6: Final answer
    x = 3,003,284.18

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.