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Finding the Third Proportional to 1,691,550 and 2,473,821

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Solution

The third proportional to 1,691,550 and 2,473,821 is: 3,617,859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,550 : 2,473,821 = 2,473,821 : x
  2. Step 2: Convert to fraction form
    1,691,550/2,473,821 = 2,473,821/x
  3. Step 3: Cross multiply
    1,691,550x = 2,473,821 × 2,473,821
  4. Step 4: Simplify right side
    1,691,550x = 6,119,790,340,041
  5. Step 5: Solve for x
    x = 6,119,790,340,041/1,691,550
  6. Step 6: Final answer
    x = 3,617,859.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.