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Finding the Third Proportional to 688,312.69 and 1,512,735.75

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Solution

The third proportional to 688,312.69 and 1,512,735.75 is: 3,324,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,312.69 : 1,512,735.75 = 1,512,735.75 : x
  2. Step 2: Convert to fraction form
    688,312.69/1,512,735.75 = 1,512,735.75/x
  3. Step 3: Cross multiply
    688,312.69x = 1,512,735.75 × 1,512,735.75
  4. Step 4: Simplify right side
    688,312.69x = 2,288,369,449,328.06
  5. Step 5: Solve for x
    x = 2,288,369,449,328.06/688,312.69
  6. Step 6: Final answer
    x = 3,324,607.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.