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Finding the Third Proportional to 689,548.50 and 1,462,029.75

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Solution

The third proportional to 689,548.50 and 1,462,029.75 is: 3,099,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,548.50 : 1,462,029.75 = 1,462,029.75 : x
  2. Step 2: Convert to fraction form
    689,548.50/1,462,029.75 = 1,462,029.75/x
  3. Step 3: Cross multiply
    689,548.50x = 1,462,029.75 × 1,462,029.75
  4. Step 4: Simplify right side
    689,548.50x = 2,137,530,989,885.06
  5. Step 5: Solve for x
    x = 2,137,530,989,885.06/689,548.50
  6. Step 6: Final answer
    x = 3,099,899.41

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.