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Finding the Third Proportional to 643,450 and 1,372,398

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Solution

The third proportional to 643,450 and 1,372,398 is: 2,927,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,450 : 1,372,398 = 1,372,398 : x
  2. Step 2: Convert to fraction form
    643,450/1,372,398 = 1,372,398/x
  3. Step 3: Cross multiply
    643,450x = 1,372,398 × 1,372,398
  4. Step 4: Simplify right side
    643,450x = 1,883,476,270,404
  5. Step 5: Solve for x
    x = 1,883,476,270,404/643,450
  6. Step 6: Final answer
    x = 2,927,152.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.