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Finding the Third Proportional to 631,434 and 962,910

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Solution

The third proportional to 631,434 and 962,910 is: 1,468,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,434 : 962,910 = 962,910 : x
  2. Step 2: Convert to fraction form
    631,434/962,910 = 962,910/x
  3. Step 3: Cross multiply
    631,434x = 962,910 × 962,910
  4. Step 4: Simplify right side
    631,434x = 927,195,668,100
  5. Step 5: Solve for x
    x = 927,195,668,100/631,434
  6. Step 6: Final answer
    x = 1,468,396.80

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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.