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Finding the Third Proportional to 647,967 and 1,337,337

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Solution

The third proportional to 647,967 and 1,337,337 is: 2,760,125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,967 : 1,337,337 = 1,337,337 : x
  2. Step 2: Convert to fraction form
    647,967/1,337,337 = 1,337,337/x
  3. Step 3: Cross multiply
    647,967x = 1,337,337 × 1,337,337
  4. Step 4: Simplify right side
    647,967x = 1,788,470,251,569
  5. Step 5: Solve for x
    x = 1,788,470,251,569/647,967
  6. Step 6: Final answer
    x = 2,760,125.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.