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Finding the Third Proportional to 648,081 and 1,337,607

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Solution

The third proportional to 648,081 and 1,337,607 is: 2,760,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,081 : 1,337,607 = 1,337,607 : x
  2. Step 2: Convert to fraction form
    648,081/1,337,607 = 1,337,607/x
  3. Step 3: Cross multiply
    648,081x = 1,337,607 × 1,337,607
  4. Step 4: Simplify right side
    648,081x = 1,789,192,486,449
  5. Step 5: Solve for x
    x = 1,789,192,486,449/648,081
  6. Step 6: Final answer
    x = 2,760,754.42

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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.