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Finding the Third Proportional to 443,066 and 971,910

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Solution

The third proportional to 443,066 and 971,910 is: 2,131,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,066 : 971,910 = 971,910 : x
  2. Step 2: Convert to fraction form
    443,066/971,910 = 971,910/x
  3. Step 3: Cross multiply
    443,066x = 971,910 × 971,910
  4. Step 4: Simplify right side
    443,066x = 944,609,048,100
  5. Step 5: Solve for x
    x = 944,609,048,100/443,066
  6. Step 6: Final answer
    x = 2,131,982.70

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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.