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Finding the Third Proportional to 2,106,941 and 3,154,639

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Solution

The third proportional to 2,106,941 and 3,154,639 is: 4,723,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,941 : 3,154,639 = 3,154,639 : x
  2. Step 2: Convert to fraction form
    2,106,941/3,154,639 = 3,154,639/x
  3. Step 3: Cross multiply
    2,106,941x = 3,154,639 × 3,154,639
  4. Step 4: Simplify right side
    2,106,941x = 9,951,747,220,321
  5. Step 5: Solve for x
    x = 9,951,747,220,321/2,106,941
  6. Step 6: Final answer
    x = 4,723,315.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.