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Finding the Third Proportional to 1,189,960 and 1,812,829

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Solution

The third proportional to 1,189,960 and 1,812,829 is: 2,761,730.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,960 : 1,812,829 = 1,812,829 : x
  2. Step 2: Convert to fraction form
    1,189,960/1,812,829 = 1,812,829/x
  3. Step 3: Cross multiply
    1,189,960x = 1,812,829 × 1,812,829
  4. Step 4: Simplify right side
    1,189,960x = 3,286,348,983,241
  5. Step 5: Solve for x
    x = 3,286,348,983,241/1,189,960
  6. Step 6: Final answer
    x = 2,761,730.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.