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Finding the Third Proportional to 443,754 and 971,919

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Solution

The third proportional to 443,754 and 971,919 is: 2,128,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,754 : 971,919 = 971,919 : x
  2. Step 2: Convert to fraction form
    443,754/971,919 = 971,919/x
  3. Step 3: Cross multiply
    443,754x = 971,919 × 971,919
  4. Step 4: Simplify right side
    443,754x = 944,626,542,561
  5. Step 5: Solve for x
    x = 944,626,542,561/443,754
  6. Step 6: Final answer
    x = 2,128,716.68

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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.