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Finding the Third Proportional to 1,324,008 and 2,834,640

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Solution

The third proportional to 1,324,008 and 2,834,640 is: 6,068,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324,008 : 2,834,640 = 2,834,640 : x
  2. Step 2: Convert to fraction form
    1,324,008/2,834,640 = 2,834,640/x
  3. Step 3: Cross multiply
    1,324,008x = 2,834,640 × 2,834,640
  4. Step 4: Simplify right side
    1,324,008x = 8,035,183,929,600
  5. Step 5: Solve for x
    x = 8,035,183,929,600/1,324,008
  6. Step 6: Final answer
    x = 6,068,833.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.