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Finding the Third Proportional to 601,539 and 1,337,571.75

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Solution

The third proportional to 601,539 and 1,337,571.75 is: 2,974,201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,539 : 1,337,571.75 = 1,337,571.75 : x
  2. Step 2: Convert to fraction form
    601,539/1,337,571.75 = 1,337,571.75/x
  3. Step 3: Cross multiply
    601,539x = 1,337,571.75 × 1,337,571.75
  4. Step 4: Simplify right side
    601,539x = 1,789,098,186,398.06
  5. Step 5: Solve for x
    x = 1,789,098,186,398.06/601,539
  6. Step 6: Final answer
    x = 2,974,201.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.