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Finding the Third Proportional to 648,434 and 970,059

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Solution

The third proportional to 648,434 and 970,059 is: 1,451,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,434 : 970,059 = 970,059 : x
  2. Step 2: Convert to fraction form
    648,434/970,059 = 970,059/x
  3. Step 3: Cross multiply
    648,434x = 970,059 × 970,059
  4. Step 4: Simplify right side
    648,434x = 941,014,463,481
  5. Step 5: Solve for x
    x = 941,014,463,481/648,434
  6. Step 6: Final answer
    x = 1,451,210.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.