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Finding the Third Proportional to 969,144 and 1,444,272

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Solution

The third proportional to 969,144 and 1,444,272 is: 2,152,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,144 : 1,444,272 = 1,444,272 : x
  2. Step 2: Convert to fraction form
    969,144/1,444,272 = 1,444,272/x
  3. Step 3: Cross multiply
    969,144x = 1,444,272 × 1,444,272
  4. Step 4: Simplify right side
    969,144x = 2,085,921,609,984
  5. Step 5: Solve for x
    x = 2,085,921,609,984/969,144
  6. Step 6: Final answer
    x = 2,152,334.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.