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Finding the Third Proportional to 462,204 and 969,120

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Solution

The third proportional to 462,204 and 969,120 is: 2,031,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,204 : 969,120 = 969,120 : x
  2. Step 2: Convert to fraction form
    462,204/969,120 = 969,120/x
  3. Step 3: Cross multiply
    462,204x = 969,120 × 969,120
  4. Step 4: Simplify right side
    462,204x = 939,193,574,400
  5. Step 5: Solve for x
    x = 939,193,574,400/462,204
  6. Step 6: Final answer
    x = 2,031,989.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.