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Finding the Third Proportional to 2,031,138 and 4,426,596

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Solution

The third proportional to 2,031,138 and 4,426,596 is: 9,647,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,138 : 4,426,596 = 4,426,596 : x
  2. Step 2: Convert to fraction form
    2,031,138/4,426,596 = 4,426,596/x
  3. Step 3: Cross multiply
    2,031,138x = 4,426,596 × 4,426,596
  4. Step 4: Simplify right side
    2,031,138x = 19,594,752,147,216
  5. Step 5: Solve for x
    x = 19,594,752,147,216/2,031,138
  6. Step 6: Final answer
    x = 9,647,179.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.