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Finding the Third Proportional to 449,964 and 950,524

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Solution

The third proportional to 449,964 and 950,524 is: 2,007,929.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,964 : 950,524 = 950,524 : x
  2. Step 2: Convert to fraction form
    449,964/950,524 = 950,524/x
  3. Step 3: Cross multiply
    449,964x = 950,524 × 950,524
  4. Step 4: Simplify right side
    449,964x = 903,495,874,576
  5. Step 5: Solve for x
    x = 903,495,874,576/449,964
  6. Step 6: Final answer
    x = 2,007,929.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.