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Finding the Third Proportional to 647,505 and 1,320,705

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Solution

The third proportional to 647,505 and 1,320,705 is: 2,693,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,505 : 1,320,705 = 1,320,705 : x
  2. Step 2: Convert to fraction form
    647,505/1,320,705 = 1,320,705/x
  3. Step 3: Cross multiply
    647,505x = 1,320,705 × 1,320,705
  4. Step 4: Simplify right side
    647,505x = 1,744,261,697,025
  5. Step 5: Solve for x
    x = 1,744,261,697,025/647,505
  6. Step 6: Final answer
    x = 2,693,819.66

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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.