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Finding the Third Proportional to 400,076 and 944,408

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Solution

The third proportional to 400,076 and 944,408 is: 2,229,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,076 : 944,408 = 944,408 : x
  2. Step 2: Convert to fraction form
    400,076/944,408 = 944,408/x
  3. Step 3: Cross multiply
    400,076x = 944,408 × 944,408
  4. Step 4: Simplify right side
    400,076x = 891,906,470,464
  5. Step 5: Solve for x
    x = 891,906,470,464/400,076
  6. Step 6: Final answer
    x = 2,229,342.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.