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Finding the Third Proportional to 412,240 and 954,408

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Solution

The third proportional to 412,240 and 954,408 is: 2,209,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,240 : 954,408 = 954,408 : x
  2. Step 2: Convert to fraction form
    412,240/954,408 = 954,408/x
  3. Step 3: Cross multiply
    412,240x = 954,408 × 954,408
  4. Step 4: Simplify right side
    412,240x = 910,894,630,464
  5. Step 5: Solve for x
    x = 910,894,630,464/412,240
  6. Step 6: Final answer
    x = 2,209,622.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.