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Finding the Third Proportional to 443,114 and 966,430

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Solution

The third proportional to 443,114 and 966,430 is: 2,107,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,114 : 966,430 = 966,430 : x
  2. Step 2: Convert to fraction form
    443,114/966,430 = 966,430/x
  3. Step 3: Cross multiply
    443,114x = 966,430 × 966,430
  4. Step 4: Simplify right side
    443,114x = 933,986,944,900
  5. Step 5: Solve for x
    x = 933,986,944,900/443,114
  6. Step 6: Final answer
    x = 2,107,780.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.