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Finding the Third Proportional to 647,478 and 1,320,636

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Solution

The third proportional to 647,478 and 1,320,636 is: 2,693,650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,478 : 1,320,636 = 1,320,636 : x
  2. Step 2: Convert to fraction form
    647,478/1,320,636 = 1,320,636/x
  3. Step 3: Cross multiply
    647,478x = 1,320,636 × 1,320,636
  4. Step 4: Simplify right side
    647,478x = 1,744,079,444,496
  5. Step 5: Solve for x
    x = 1,744,079,444,496/647,478
  6. Step 6: Final answer
    x = 2,693,650.51

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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.