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Finding the Third Proportional to 613,827 and 1,349,469

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Solution

The third proportional to 613,827 and 1,349,469 is: 2,966,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,827 : 1,349,469 = 1,349,469 : x
  2. Step 2: Convert to fraction form
    613,827/1,349,469 = 1,349,469/x
  3. Step 3: Cross multiply
    613,827x = 1,349,469 × 1,349,469
  4. Step 4: Simplify right side
    613,827x = 1,821,066,581,961
  5. Step 5: Solve for x
    x = 1,821,066,581,961/613,827
  6. Step 6: Final answer
    x = 2,966,742.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.