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Finding the Third Proportional to 443,067 and 971,905.13

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Solution

The third proportional to 443,067 and 971,905.13 is: 2,131,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,067 : 971,905.13 = 971,905.13 : x
  2. Step 2: Convert to fraction form
    443,067/971,905.13 = 971,905.13/x
  3. Step 3: Cross multiply
    443,067x = 971,905.13 × 971,905.13
  4. Step 4: Simplify right side
    443,067x = 944,599,572,001.27
  5. Step 5: Solve for x
    x = 944,599,572,001.27/443,067
  6. Step 6: Final answer
    x = 2,131,956.50

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