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Finding the Third Proportional to 1,800,720 and 2,746,821

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Solution

The third proportional to 1,800,720 and 2,746,821 is: 4,190,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800,720 : 2,746,821 = 2,746,821 : x
  2. Step 2: Convert to fraction form
    1,800,720/2,746,821 = 2,746,821/x
  3. Step 3: Cross multiply
    1,800,720x = 2,746,821 × 2,746,821
  4. Step 4: Simplify right side
    1,800,720x = 7,545,025,606,041
  5. Step 5: Solve for x
    x = 7,545,025,606,041/1,800,720
  6. Step 6: Final answer
    x = 4,190,004.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.