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Finding the Third Proportional to 922,204 and 1,383,306

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Solution

The third proportional to 922,204 and 1,383,306 is: 2,074,959

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,204 : 1,383,306 = 1,383,306 : x
  2. Step 2: Convert to fraction form
    922,204/1,383,306 = 1,383,306/x
  3. Step 3: Cross multiply
    922,204x = 1,383,306 × 1,383,306
  4. Step 4: Simplify right side
    922,204x = 1,913,535,489,636
  5. Step 5: Solve for x
    x = 1,913,535,489,636/922,204
  6. Step 6: Final answer
    x = 2,074,959

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.