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Finding the Third Proportional to 474,671.25 and 966,969

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Solution

The third proportional to 474,671.25 and 966,969 is: 1,969,845.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,671.25 : 966,969 = 966,969 : x
  2. Step 2: Convert to fraction form
    474,671.25/966,969 = 966,969/x
  3. Step 3: Cross multiply
    474,671.25x = 966,969 × 966,969
  4. Step 4: Simplify right side
    474,671.25x = 935,029,046,961
  5. Step 5: Solve for x
    x = 935,029,046,961/474,671.25
  6. Step 6: Final answer
    x = 1,969,845.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.