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Finding the Third Proportional to 441,474 and 953,511

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Solution

The third proportional to 441,474 and 953,511 is: 2,059,426.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,474 : 953,511 = 953,511 : x
  2. Step 2: Convert to fraction form
    441,474/953,511 = 953,511/x
  3. Step 3: Cross multiply
    441,474x = 953,511 × 953,511
  4. Step 4: Simplify right side
    441,474x = 909,183,227,121
  5. Step 5: Solve for x
    x = 909,183,227,121/441,474
  6. Step 6: Final answer
    x = 2,059,426.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.