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Finding the Third Proportional to 925,344 and 2,141,973

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Solution

The third proportional to 925,344 and 2,141,973 is: 4,958,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,344 : 2,141,973 = 2,141,973 : x
  2. Step 2: Convert to fraction form
    925,344/2,141,973 = 2,141,973/x
  3. Step 3: Cross multiply
    925,344x = 2,141,973 × 2,141,973
  4. Step 4: Simplify right side
    925,344x = 4,588,048,332,729
  5. Step 5: Solve for x
    x = 4,588,048,332,729/925,344
  6. Step 6: Final answer
    x = 4,958,208.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.