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Finding the Third Proportional to 1,795,680 and 3,840,408

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Solution

The third proportional to 1,795,680 and 3,840,408 is: 8,213,453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795,680 : 3,840,408 = 3,840,408 : x
  2. Step 2: Convert to fraction form
    1,795,680/3,840,408 = 3,840,408/x
  3. Step 3: Cross multiply
    1,795,680x = 3,840,408 × 3,840,408
  4. Step 4: Simplify right side
    1,795,680x = 14,748,733,606,464
  5. Step 5: Solve for x
    x = 14,748,733,606,464/1,795,680
  6. Step 6: Final answer
    x = 8,213,453.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.