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Finding the Third Proportional to 1,238,629.22 and 1,810,146.23

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Solution

The third proportional to 1,238,629.22 and 1,810,146.23 is: 2,645,367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,629.22 : 1,810,146.23 = 1,810,146.23 : x
  2. Step 2: Convert to fraction form
    1,238,629.22/1,810,146.23 = 1,810,146.23/x
  3. Step 3: Cross multiply
    1,238,629.22x = 1,810,146.23 × 1,810,146.23
  4. Step 4: Simplify right side
    1,238,629.22x = 3,276,629,389,821.99
  5. Step 5: Solve for x
    x = 3,276,629,389,821.99/1,238,629.22
  6. Step 6: Final answer
    x = 2,645,367.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.