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Finding the Third Proportional to 647,264 and 1,004,976

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Solution

The third proportional to 647,264 and 1,004,976 is: 1,560,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,264 : 1,004,976 = 1,004,976 : x
  2. Step 2: Convert to fraction form
    647,264/1,004,976 = 1,004,976/x
  3. Step 3: Cross multiply
    647,264x = 1,004,976 × 1,004,976
  4. Step 4: Simplify right side
    647,264x = 1,009,976,760,576
  5. Step 5: Solve for x
    x = 1,009,976,760,576/647,264
  6. Step 6: Final answer
    x = 1,560,378.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.