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Finding the Third Proportional to 965,232 and 1,269,288

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Solution

The third proportional to 965,232 and 1,269,288 is: 1,669,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,232 : 1,269,288 = 1,269,288 : x
  2. Step 2: Convert to fraction form
    965,232/1,269,288 = 1,269,288/x
  3. Step 3: Cross multiply
    965,232x = 1,269,288 × 1,269,288
  4. Step 4: Simplify right side
    965,232x = 1,611,092,026,944
  5. Step 5: Solve for x
    x = 1,611,092,026,944/965,232
  6. Step 6: Final answer
    x = 1,669,124.13

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.