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Finding the Third Proportional to 669,144 and 1,443,360

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Solution

The third proportional to 669,144 and 1,443,360 is: 3,113,362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,144 : 1,443,360 = 1,443,360 : x
  2. Step 2: Convert to fraction form
    669,144/1,443,360 = 1,443,360/x
  3. Step 3: Cross multiply
    669,144x = 1,443,360 × 1,443,360
  4. Step 4: Simplify right side
    669,144x = 2,083,288,089,600
  5. Step 5: Solve for x
    x = 2,083,288,089,600/669,144
  6. Step 6: Final answer
    x = 3,113,362.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.