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Finding the Third Proportional to 456,408 and 941,976

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Solution

The third proportional to 456,408 and 941,976 is: 1,944,135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,408 : 941,976 = 941,976 : x
  2. Step 2: Convert to fraction form
    456,408/941,976 = 941,976/x
  3. Step 3: Cross multiply
    456,408x = 941,976 × 941,976
  4. Step 4: Simplify right side
    456,408x = 887,318,784,576
  5. Step 5: Solve for x
    x = 887,318,784,576/456,408
  6. Step 6: Final answer
    x = 1,944,135.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.