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Finding the Third Proportional to 435,634 and 943,667

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Solution

The third proportional to 435,634 and 943,667 is: 2,044,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,634 : 943,667 = 943,667 : x
  2. Step 2: Convert to fraction form
    435,634/943,667 = 943,667/x
  3. Step 3: Cross multiply
    435,634x = 943,667 × 943,667
  4. Step 4: Simplify right side
    435,634x = 890,507,406,889
  5. Step 5: Solve for x
    x = 890,507,406,889/435,634
  6. Step 6: Final answer
    x = 2,044,164.15

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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.