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Finding the Third Proportional to 443,064 and 971,906

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Solution

The third proportional to 443,064 and 971,906 is: 2,131,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,064 : 971,906 = 971,906 : x
  2. Step 2: Convert to fraction form
    443,064/971,906 = 971,906/x
  3. Step 3: Cross multiply
    443,064x = 971,906 × 971,906
  4. Step 4: Simplify right side
    443,064x = 944,601,272,836
  5. Step 5: Solve for x
    x = 944,601,272,836/443,064
  6. Step 6: Final answer
    x = 2,131,974.78

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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.