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Finding the Third Proportional to 688,403.25 and 1,491,215.63

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Solution

The third proportional to 688,403.25 and 1,491,215.63 is: 3,230,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,403.25 : 1,491,215.63 = 1,491,215.63 : x
  2. Step 2: Convert to fraction form
    688,403.25/1,491,215.63 = 1,491,215.63/x
  3. Step 3: Cross multiply
    688,403.25x = 1,491,215.63 × 1,491,215.63
  4. Step 4: Simplify right side
    688,403.25x = 2,223,724,040,244.14
  5. Step 5: Solve for x
    x = 2,223,724,040,244.14/688,403.25
  6. Step 6: Final answer
    x = 3,230,263.72

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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.