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Finding the Third Proportional to 1,189,920 and 1,812,771

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Solution

The third proportional to 1,189,920 and 1,812,771 is: 2,761,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,920 : 1,812,771 = 1,812,771 : x
  2. Step 2: Convert to fraction form
    1,189,920/1,812,771 = 1,812,771/x
  3. Step 3: Cross multiply
    1,189,920x = 1,812,771 × 1,812,771
  4. Step 4: Simplify right side
    1,189,920x = 3,286,138,698,441
  5. Step 5: Solve for x
    x = 3,286,138,698,441/1,189,920
  6. Step 6: Final answer
    x = 2,761,646.75

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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.