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Finding the Third Proportional to 647,596 and 964,734

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Solution

The third proportional to 647,596 and 964,734 is: 1,437,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,596 : 964,734 = 964,734 : x
  2. Step 2: Convert to fraction form
    647,596/964,734 = 964,734/x
  3. Step 3: Cross multiply
    647,596x = 964,734 × 964,734
  4. Step 4: Simplify right side
    647,596x = 930,711,690,756
  5. Step 5: Solve for x
    x = 930,711,690,756/647,596
  6. Step 6: Final answer
    x = 1,437,179.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.