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Finding the Third Proportional to 675,849 and 944,880

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Solution

The third proportional to 675,849 and 944,880 is: 1,321,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,849 : 944,880 = 944,880 : x
  2. Step 2: Convert to fraction form
    675,849/944,880 = 944,880/x
  3. Step 3: Cross multiply
    675,849x = 944,880 × 944,880
  4. Step 4: Simplify right side
    675,849x = 892,798,214,400
  5. Step 5: Solve for x
    x = 892,798,214,400/675,849
  6. Step 6: Final answer
    x = 1,321,002.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.