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Finding the Third Proportional to 1,834,424 and 2,642,256

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Solution

The third proportional to 1,834,424 and 2,642,256 is: 3,805,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,424 : 2,642,256 = 2,642,256 : x
  2. Step 2: Convert to fraction form
    1,834,424/2,642,256 = 2,642,256/x
  3. Step 3: Cross multiply
    1,834,424x = 2,642,256 × 2,642,256
  4. Step 4: Simplify right side
    1,834,424x = 6,981,516,769,536
  5. Step 5: Solve for x
    x = 6,981,516,769,536/1,834,424
  6. Step 6: Final answer
    x = 3,805,835.93

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.