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Finding the Third Proportional to 965,308 and 1,269,384

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Solution

The third proportional to 965,308 and 1,269,384 is: 1,669,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,308 : 1,269,384 = 1,269,384 : x
  2. Step 2: Convert to fraction form
    965,308/1,269,384 = 1,269,384/x
  3. Step 3: Cross multiply
    965,308x = 1,269,384 × 1,269,384
  4. Step 4: Simplify right side
    965,308x = 1,611,335,739,456
  5. Step 5: Solve for x
    x = 1,611,335,739,456/965,308
  6. Step 6: Final answer
    x = 1,669,245.19

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