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Finding the Third Proportional to 441,835 and 962,399

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Solution

The third proportional to 441,835 and 962,399 is: 2,096,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,835 : 962,399 = 962,399 : x
  2. Step 2: Convert to fraction form
    441,835/962,399 = 962,399/x
  3. Step 3: Cross multiply
    441,835x = 962,399 × 962,399
  4. Step 4: Simplify right side
    441,835x = 926,211,835,201
  5. Step 5: Solve for x
    x = 926,211,835,201/441,835
  6. Step 6: Final answer
    x = 2,096,284.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.