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Finding the Third Proportional to 965,664 and 1,469,232

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Solution

The third proportional to 965,664 and 1,469,232 is: 2,235,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,664 : 1,469,232 = 1,469,232 : x
  2. Step 2: Convert to fraction form
    965,664/1,469,232 = 1,469,232/x
  3. Step 3: Cross multiply
    965,664x = 1,469,232 × 1,469,232
  4. Step 4: Simplify right side
    965,664x = 2,158,642,669,824
  5. Step 5: Solve for x
    x = 2,158,642,669,824/965,664
  6. Step 6: Final answer
    x = 2,235,397.27

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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.