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Finding the Third Proportional to 424,764 and 926,802

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Solution

The third proportional to 424,764 and 926,802 is: 2,022,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,764 : 926,802 = 926,802 : x
  2. Step 2: Convert to fraction form
    424,764/926,802 = 926,802/x
  3. Step 3: Cross multiply
    424,764x = 926,802 × 926,802
  4. Step 4: Simplify right side
    424,764x = 858,961,947,204
  5. Step 5: Solve for x
    x = 858,961,947,204/424,764
  6. Step 6: Final answer
    x = 2,022,209.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.