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Finding the Third Proportional to 1,189,840 and 1,812,644

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Solution

The third proportional to 1,189,840 and 1,812,644 is: 2,761,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,840 : 1,812,644 = 1,812,644 : x
  2. Step 2: Convert to fraction form
    1,189,840/1,812,644 = 1,812,644/x
  3. Step 3: Cross multiply
    1,189,840x = 1,812,644 × 1,812,644
  4. Step 4: Simplify right side
    1,189,840x = 3,285,678,270,736
  5. Step 5: Solve for x
    x = 3,285,678,270,736/1,189,840
  6. Step 6: Final answer
    x = 2,761,445.46

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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.