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Finding the Third Proportional to 1,025,204 and 2,373,424

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Solution

The third proportional to 1,025,204 and 2,373,424 is: 5,494,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,204 : 2,373,424 = 2,373,424 : x
  2. Step 2: Convert to fraction form
    1,025,204/2,373,424 = 2,373,424/x
  3. Step 3: Cross multiply
    1,025,204x = 2,373,424 × 2,373,424
  4. Step 4: Simplify right side
    1,025,204x = 5,633,141,483,776
  5. Step 5: Solve for x
    x = 5,633,141,483,776/1,025,204
  6. Step 6: Final answer
    x = 5,494,654.22

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.