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Finding the Third Proportional to 1,231,841 and 2,633,922

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Solution

The third proportional to 1,231,841 and 2,633,922 is: 5,631,851.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,841 : 2,633,922 = 2,633,922 : x
  2. Step 2: Convert to fraction form
    1,231,841/2,633,922 = 2,633,922/x
  3. Step 3: Cross multiply
    1,231,841x = 2,633,922 × 2,633,922
  4. Step 4: Simplify right side
    1,231,841x = 6,937,545,102,084
  5. Step 5: Solve for x
    x = 6,937,545,102,084/1,231,841
  6. Step 6: Final answer
    x = 5,631,851.11

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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.