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Finding the Third Proportional to 647,964 and 1,439,745

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Solution

The third proportional to 647,964 and 1,439,745 is: 3,199,044.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,964 : 1,439,745 = 1,439,745 : x
  2. Step 2: Convert to fraction form
    647,964/1,439,745 = 1,439,745/x
  3. Step 3: Cross multiply
    647,964x = 1,439,745 × 1,439,745
  4. Step 4: Simplify right side
    647,964x = 2,072,865,665,025
  5. Step 5: Solve for x
    x = 2,072,865,665,025/647,964
  6. Step 6: Final answer
    x = 3,199,044.49

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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.