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Finding the Third Proportional to 701,361 and 1,533,933

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Solution

The third proportional to 701,361 and 1,533,933 is: 3,354,835.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,361 : 1,533,933 = 1,533,933 : x
  2. Step 2: Convert to fraction form
    701,361/1,533,933 = 1,533,933/x
  3. Step 3: Cross multiply
    701,361x = 1,533,933 × 1,533,933
  4. Step 4: Simplify right side
    701,361x = 2,352,950,448,489
  5. Step 5: Solve for x
    x = 2,352,950,448,489/701,361
  6. Step 6: Final answer
    x = 3,354,835.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.