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Finding the Third Proportional to 1,670,960 and 3,532,408

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Solution

The third proportional to 1,670,960 and 3,532,408 is: 7,467,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670,960 : 3,532,408 = 3,532,408 : x
  2. Step 2: Convert to fraction form
    1,670,960/3,532,408 = 3,532,408/x
  3. Step 3: Cross multiply
    1,670,960x = 3,532,408 × 3,532,408
  4. Step 4: Simplify right side
    1,670,960x = 12,477,906,278,464
  5. Step 5: Solve for x
    x = 12,477,906,278,464/1,670,960
  6. Step 6: Final answer
    x = 7,467,507.47

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.