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Finding the Third Proportional to 925,800 and 2,028,864

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Solution

The third proportional to 925,800 and 2,028,864 is: 4,446,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,800 : 2,028,864 = 2,028,864 : x
  2. Step 2: Convert to fraction form
    925,800/2,028,864 = 2,028,864/x
  3. Step 3: Cross multiply
    925,800x = 2,028,864 × 2,028,864
  4. Step 4: Simplify right side
    925,800x = 4,116,289,130,496
  5. Step 5: Solve for x
    x = 4,116,289,130,496/925,800
  6. Step 6: Final answer
    x = 4,446,196.94

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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.