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Finding the Third Proportional to 1,578,204 and 3,408,636

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Solution

The third proportional to 1,578,204 and 3,408,636 is: 7,362,038.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,204 : 3,408,636 = 3,408,636 : x
  2. Step 2: Convert to fraction form
    1,578,204/3,408,636 = 3,408,636/x
  3. Step 3: Cross multiply
    1,578,204x = 3,408,636 × 3,408,636
  4. Step 4: Simplify right side
    1,578,204x = 11,618,799,380,496
  5. Step 5: Solve for x
    x = 11,618,799,380,496/1,578,204
  6. Step 6: Final answer
    x = 7,362,038.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.