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Finding the Third Proportional to 1,744,876 and 3,764,720

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Solution

The third proportional to 1,744,876 and 3,764,720 is: 8,122,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,876 : 3,764,720 = 3,764,720 : x
  2. Step 2: Convert to fraction form
    1,744,876/3,764,720 = 3,764,720/x
  3. Step 3: Cross multiply
    1,744,876x = 3,764,720 × 3,764,720
  4. Step 4: Simplify right side
    1,744,876x = 14,173,116,678,400
  5. Step 5: Solve for x
    x = 14,173,116,678,400/1,744,876
  6. Step 6: Final answer
    x = 8,122,707.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.