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Finding the Third Proportional to 647,966 and 1,439,749

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Solution

The third proportional to 647,966 and 1,439,749 is: 3,199,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,966 : 1,439,749 = 1,439,749 : x
  2. Step 2: Convert to fraction form
    647,966/1,439,749 = 1,439,749/x
  3. Step 3: Cross multiply
    647,966x = 1,439,749 × 1,439,749
  4. Step 4: Simplify right side
    647,966x = 2,072,877,183,001
  5. Step 5: Solve for x
    x = 2,072,877,183,001/647,966
  6. Step 6: Final answer
    x = 3,199,052.39

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.