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Finding the Third Proportional to 640,684 and 982,734

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Solution

The third proportional to 640,684 and 982,734 is: 1,507,398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,684 : 982,734 = 982,734 : x
  2. Step 2: Convert to fraction form
    640,684/982,734 = 982,734/x
  3. Step 3: Cross multiply
    640,684x = 982,734 × 982,734
  4. Step 4: Simplify right side
    640,684x = 965,766,114,756
  5. Step 5: Solve for x
    x = 965,766,114,756/640,684
  6. Step 6: Final answer
    x = 1,507,398.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.