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Finding the Third Proportional to 647,124 and 979,734

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Solution

The third proportional to 647,124 and 979,734 is: 1,483,299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,124 : 979,734 = 979,734 : x
  2. Step 2: Convert to fraction form
    647,124/979,734 = 979,734/x
  3. Step 3: Cross multiply
    647,124x = 979,734 × 979,734
  4. Step 4: Simplify right side
    647,124x = 959,878,710,756
  5. Step 5: Solve for x
    x = 959,878,710,756/647,124
  6. Step 6: Final answer
    x = 1,483,299.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.