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Finding the Third Proportional to 658,744 and 1,340,816

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Solution

The third proportional to 658,744 and 1,340,816 is: 2,729,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,744 : 1,340,816 = 1,340,816 : x
  2. Step 2: Convert to fraction form
    658,744/1,340,816 = 1,340,816/x
  3. Step 3: Cross multiply
    658,744x = 1,340,816 × 1,340,816
  4. Step 4: Simplify right side
    658,744x = 1,797,787,545,856
  5. Step 5: Solve for x
    x = 1,797,787,545,856/658,744
  6. Step 6: Final answer
    x = 2,729,114.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.