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Finding the Third Proportional to 441,264 and 963,446

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Solution

The third proportional to 441,264 and 963,446 is: 2,103,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,264 : 963,446 = 963,446 : x
  2. Step 2: Convert to fraction form
    441,264/963,446 = 963,446/x
  3. Step 3: Cross multiply
    441,264x = 963,446 × 963,446
  4. Step 4: Simplify right side
    441,264x = 928,228,194,916
  5. Step 5: Solve for x
    x = 928,228,194,916/441,264
  6. Step 6: Final answer
    x = 2,103,566.56

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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.