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Finding the Third Proportional to 413,770 and 966,966

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Solution

The third proportional to 413,770 and 966,966 is: 2,259,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,770 : 966,966 = 966,966 : x
  2. Step 2: Convert to fraction form
    413,770/966,966 = 966,966/x
  3. Step 3: Cross multiply
    413,770x = 966,966 × 966,966
  4. Step 4: Simplify right side
    413,770x = 935,023,245,156
  5. Step 5: Solve for x
    x = 935,023,245,156/413,770
  6. Step 6: Final answer
    x = 2,259,765.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.