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Finding the Third Proportional to 638,958 and 970,104

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Solution

The third proportional to 638,958 and 970,104 is: 1,472,869.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,958 : 970,104 = 970,104 : x
  2. Step 2: Convert to fraction form
    638,958/970,104 = 970,104/x
  3. Step 3: Cross multiply
    638,958x = 970,104 × 970,104
  4. Step 4: Simplify right side
    638,958x = 941,101,770,816
  5. Step 5: Solve for x
    x = 941,101,770,816/638,958
  6. Step 6: Final answer
    x = 1,472,869.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.