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Finding the Third Proportional to 435,770 and 943,918

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Solution

The third proportional to 435,770 and 943,918 is: 2,044,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,770 : 943,918 = 943,918 : x
  2. Step 2: Convert to fraction form
    435,770/943,918 = 943,918/x
  3. Step 3: Cross multiply
    435,770x = 943,918 × 943,918
  4. Step 4: Simplify right side
    435,770x = 890,981,190,724
  5. Step 5: Solve for x
    x = 890,981,190,724/435,770
  6. Step 6: Final answer
    x = 2,044,613.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.