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Finding the Third Proportional to 450,999 and 971,766

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Solution

The third proportional to 450,999 and 971,766 is: 2,093,860.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,999 : 971,766 = 971,766 : x
  2. Step 2: Convert to fraction form
    450,999/971,766 = 971,766/x
  3. Step 3: Cross multiply
    450,999x = 971,766 × 971,766
  4. Step 4: Simplify right side
    450,999x = 944,329,158,756
  5. Step 5: Solve for x
    x = 944,329,158,756/450,999
  6. Step 6: Final answer
    x = 2,093,860.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.