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Finding the Third Proportional to 1,419,840 and 2,130,408

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Solution

The third proportional to 1,419,840 and 2,130,408 is: 3,196,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,840 : 2,130,408 = 2,130,408 : x
  2. Step 2: Convert to fraction form
    1,419,840/2,130,408 = 2,130,408/x
  3. Step 3: Cross multiply
    1,419,840x = 2,130,408 × 2,130,408
  4. Step 4: Simplify right side
    1,419,840x = 4,538,638,246,464
  5. Step 5: Solve for x
    x = 4,538,638,246,464/1,419,840
  6. Step 6: Final answer
    x = 3,196,584.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.