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Finding the Third Proportional to 675,048 and 949,410

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Solution

The third proportional to 675,048 and 949,410 is: 1,335,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,048 : 949,410 = 949,410 : x
  2. Step 2: Convert to fraction form
    675,048/949,410 = 949,410/x
  3. Step 3: Cross multiply
    675,048x = 949,410 × 949,410
  4. Step 4: Simplify right side
    675,048x = 901,379,348,100
  5. Step 5: Solve for x
    x = 901,379,348,100/675,048
  6. Step 6: Final answer
    x = 1,335,281.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.