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Finding the Third Proportional to 435,629 and 943,657

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Solution

The third proportional to 435,629 and 943,657 is: 2,044,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,629 : 943,657 = 943,657 : x
  2. Step 2: Convert to fraction form
    435,629/943,657 = 943,657/x
  3. Step 3: Cross multiply
    435,629x = 943,657 × 943,657
  4. Step 4: Simplify right side
    435,629x = 890,488,533,649
  5. Step 5: Solve for x
    x = 890,488,533,649/435,629
  6. Step 6: Final answer
    x = 2,044,144.29

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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.