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Finding the Third Proportional to 763,966 and 1,619,000

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Solution

The third proportional to 763,966 and 1,619,000 is: 3,430,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,966 : 1,619,000 = 1,619,000 : x
  2. Step 2: Convert to fraction form
    763,966/1,619,000 = 1,619,000/x
  3. Step 3: Cross multiply
    763,966x = 1,619,000 × 1,619,000
  4. Step 4: Simplify right side
    763,966x = 2,621,161,000,000
  5. Step 5: Solve for x
    x = 2,621,161,000,000/763,966
  6. Step 6: Final answer
    x = 3,430,991.69

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.