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Finding the Third Proportional to 443,707 and 971,378

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Solution

The third proportional to 443,707 and 971,378 is: 2,126,572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,707 : 971,378 = 971,378 : x
  2. Step 2: Convert to fraction form
    443,707/971,378 = 971,378/x
  3. Step 3: Cross multiply
    443,707x = 971,378 × 971,378
  4. Step 4: Simplify right side
    443,707x = 943,575,218,884
  5. Step 5: Solve for x
    x = 943,575,218,884/443,707
  6. Step 6: Final answer
    x = 2,126,572.76

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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.