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Finding the Third Proportional to 619,961 and 1,314,330

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Solution

The third proportional to 619,961 and 1,314,330 is: 2,786,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,961 : 1,314,330 = 1,314,330 : x
  2. Step 2: Convert to fraction form
    619,961/1,314,330 = 1,314,330/x
  3. Step 3: Cross multiply
    619,961x = 1,314,330 × 1,314,330
  4. Step 4: Simplify right side
    619,961x = 1,727,463,348,900
  5. Step 5: Solve for x
    x = 1,727,463,348,900/619,961
  6. Step 6: Final answer
    x = 2,786,406.48

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Why These Related Problems?

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