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Finding the Third Proportional to 688,315 and 1,491,036

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Solution

The third proportional to 688,315 and 1,491,036 is: 3,229,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,315 : 1,491,036 = 1,491,036 : x
  2. Step 2: Convert to fraction form
    688,315/1,491,036 = 1,491,036/x
  3. Step 3: Cross multiply
    688,315x = 1,491,036 × 1,491,036
  4. Step 4: Simplify right side
    688,315x = 2,223,188,353,296
  5. Step 5: Solve for x
    x = 2,223,188,353,296/688,315
  6. Step 6: Final answer
    x = 3,229,899.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.