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Finding the Third Proportional to 652,673 and 1,383,754

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Solution

The third proportional to 652,673 and 1,383,754 is: 2,933,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,673 : 1,383,754 = 1,383,754 : x
  2. Step 2: Convert to fraction form
    652,673/1,383,754 = 1,383,754/x
  3. Step 3: Cross multiply
    652,673x = 1,383,754 × 1,383,754
  4. Step 4: Simplify right side
    652,673x = 1,914,775,132,516
  5. Step 5: Solve for x
    x = 1,914,775,132,516/652,673
  6. Step 6: Final answer
    x = 2,933,743.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.