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Finding the Third Proportional to 443,062 and 971,903

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Solution

The third proportional to 443,062 and 971,903 is: 2,131,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,062 : 971,903 = 971,903 : x
  2. Step 2: Convert to fraction form
    443,062/971,903 = 971,903/x
  3. Step 3: Cross multiply
    443,062x = 971,903 × 971,903
  4. Step 4: Simplify right side
    443,062x = 944,595,441,409
  5. Step 5: Solve for x
    x = 944,595,441,409/443,062
  6. Step 6: Final answer
    x = 2,131,971.24

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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.