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Finding the Third Proportional to 688,635.75 and 1,499,213.63

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Solution

The third proportional to 688,635.75 and 1,499,213.63 is: 3,263,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,635.75 : 1,499,213.63 = 1,499,213.63 : x
  2. Step 2: Convert to fraction form
    688,635.75/1,499,213.63 = 1,499,213.63/x
  3. Step 3: Cross multiply
    688,635.75x = 1,499,213.63 × 1,499,213.63
  4. Step 4: Simplify right side
    688,635.75x = 2,247,641,493,385.64
  5. Step 5: Solve for x
    x = 2,247,641,493,385.64/688,635.75
  6. Step 6: Final answer
    x = 3,263,904.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.