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Finding the Third Proportional to 443,044.69 and 971,875.97

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Solution

The third proportional to 443,044.69 and 971,875.97 is: 2,131,935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,044.69 : 971,875.97 = 971,875.97 : x
  2. Step 2: Convert to fraction form
    443,044.69/971,875.97 = 971,875.97/x
  3. Step 3: Cross multiply
    443,044.69x = 971,875.97 × 971,875.97
  4. Step 4: Simplify right side
    443,044.69x = 944,542,898,633.75
  5. Step 5: Solve for x
    x = 944,542,898,633.75/443,044.69
  6. Step 6: Final answer
    x = 2,131,935.95

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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.