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Finding the Third Proportional to 679,078 and 1,439,105

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Solution

The third proportional to 679,078 and 1,439,105 is: 3,049,757.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,078 : 1,439,105 = 1,439,105 : x
  2. Step 2: Convert to fraction form
    679,078/1,439,105 = 1,439,105/x
  3. Step 3: Cross multiply
    679,078x = 1,439,105 × 1,439,105
  4. Step 4: Simplify right side
    679,078x = 2,071,023,201,025
  5. Step 5: Solve for x
    x = 2,071,023,201,025/679,078
  6. Step 6: Final answer
    x = 3,049,757.47

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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.