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Finding the Third Proportional to 683,104 and 1,006,976

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Solution

The third proportional to 683,104 and 1,006,976 is: 1,484,401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,104 : 1,006,976 = 1,006,976 : x
  2. Step 2: Convert to fraction form
    683,104/1,006,976 = 1,006,976/x
  3. Step 3: Cross multiply
    683,104x = 1,006,976 × 1,006,976
  4. Step 4: Simplify right side
    683,104x = 1,014,000,664,576
  5. Step 5: Solve for x
    x = 1,014,000,664,576/683,104
  6. Step 6: Final answer
    x = 1,484,401.59

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.