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Finding the Third Proportional to 965,280 and 1,269,360

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Solution

The third proportional to 965,280 and 1,269,360 is: 1,669,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,280 : 1,269,360 = 1,269,360 : x
  2. Step 2: Convert to fraction form
    965,280/1,269,360 = 1,269,360/x
  3. Step 3: Cross multiply
    965,280x = 1,269,360 × 1,269,360
  4. Step 4: Simplify right side
    965,280x = 1,611,274,809,600
  5. Step 5: Solve for x
    x = 1,611,274,809,600/965,280
  6. Step 6: Final answer
    x = 1,669,230.49

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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.