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Finding the Third Proportional to 679,078 and 1,439,104

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Solution

The third proportional to 679,078 and 1,439,104 is: 3,049,753.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,078 : 1,439,104 = 1,439,104 : x
  2. Step 2: Convert to fraction form
    679,078/1,439,104 = 1,439,104/x
  3. Step 3: Cross multiply
    679,078x = 1,439,104 × 1,439,104
  4. Step 4: Simplify right side
    679,078x = 2,071,020,322,816
  5. Step 5: Solve for x
    x = 2,071,020,322,816/679,078
  6. Step 6: Final answer
    x = 3,049,753.23

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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.