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Finding the Third Proportional to 443,067 and 971,913

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Solution

The third proportional to 443,067 and 971,913 is: 2,131,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,067 : 971,913 = 971,913 : x
  2. Step 2: Convert to fraction form
    443,067/971,913 = 971,913/x
  3. Step 3: Cross multiply
    443,067x = 971,913 × 971,913
  4. Step 4: Simplify right side
    443,067x = 944,614,879,569
  5. Step 5: Solve for x
    x = 944,614,879,569/443,067
  6. Step 6: Final answer
    x = 2,131,991.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.