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Finding the Third Proportional to 1,629,831 and 3,540,139

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Solution

The third proportional to 1,629,831 and 3,540,139 is: 7,689,499.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629,831 : 3,540,139 = 3,540,139 : x
  2. Step 2: Convert to fraction form
    1,629,831/3,540,139 = 3,540,139/x
  3. Step 3: Cross multiply
    1,629,831x = 3,540,139 × 3,540,139
  4. Step 4: Simplify right side
    1,629,831x = 12,532,584,139,321
  5. Step 5: Solve for x
    x = 12,532,584,139,321/1,629,831
  6. Step 6: Final answer
    x = 7,689,499.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.