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Finding the Third Proportional to 1,034,625 and 1,614,821

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Solution

The third proportional to 1,034,625 and 1,614,821 is: 2,520,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,625 : 1,614,821 = 1,614,821 : x
  2. Step 2: Convert to fraction form
    1,034,625/1,614,821 = 1,614,821/x
  3. Step 3: Cross multiply
    1,034,625x = 1,614,821 × 1,614,821
  4. Step 4: Simplify right side
    1,034,625x = 2,607,646,862,041
  5. Step 5: Solve for x
    x = 2,607,646,862,041/1,034,625
  6. Step 6: Final answer
    x = 2,520,378.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.