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Finding the Third Proportional to 1,034,450 and 1,605,491

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Solution

The third proportional to 1,034,450 and 1,605,491 is: 2,491,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,450 : 1,605,491 = 1,605,491 : x
  2. Step 2: Convert to fraction form
    1,034,450/1,605,491 = 1,605,491/x
  3. Step 3: Cross multiply
    1,034,450x = 1,605,491 × 1,605,491
  4. Step 4: Simplify right side
    1,034,450x = 2,577,601,351,081
  5. Step 5: Solve for x
    x = 2,577,601,351,081/1,034,450
  6. Step 6: Final answer
    x = 2,491,760.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.