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Finding the Third Proportional to 435,667 and 943,708

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Solution

The third proportional to 435,667 and 943,708 is: 2,044,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,667 : 943,708 = 943,708 : x
  2. Step 2: Convert to fraction form
    435,667/943,708 = 943,708/x
  3. Step 3: Cross multiply
    435,667x = 943,708 × 943,708
  4. Step 4: Simplify right side
    435,667x = 890,584,789,264
  5. Step 5: Solve for x
    x = 890,584,789,264/435,667
  6. Step 6: Final answer
    x = 2,044,186.93

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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.