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Finding the Third Proportional to 1,362,408 and 2,961,120

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Solution

The third proportional to 1,362,408 and 2,961,120 is: 6,435,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362,408 : 2,961,120 = 2,961,120 : x
  2. Step 2: Convert to fraction form
    1,362,408/2,961,120 = 2,961,120/x
  3. Step 3: Cross multiply
    1,362,408x = 2,961,120 × 2,961,120
  4. Step 4: Simplify right side
    1,362,408x = 8,768,231,654,400
  5. Step 5: Solve for x
    x = 8,768,231,654,400/1,362,408
  6. Step 6: Final answer
    x = 6,435,833.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.