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Finding the Third Proportional to 435,657 and 943,692

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Solution

The third proportional to 435,657 and 943,692 is: 2,044,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,657 : 943,692 = 943,692 : x
  2. Step 2: Convert to fraction form
    435,657/943,692 = 943,692/x
  3. Step 3: Cross multiply
    435,657x = 943,692 × 943,692
  4. Step 4: Simplify right side
    435,657x = 890,554,590,864
  5. Step 5: Solve for x
    x = 890,554,590,864/435,657
  6. Step 6: Final answer
    x = 2,044,164.54

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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.