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Finding the Third Proportional to 435,794 and 933,796

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Solution

The third proportional to 435,794 and 933,796 is: 2,000,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,794 : 933,796 = 933,796 : x
  2. Step 2: Convert to fraction form
    435,794/933,796 = 933,796/x
  3. Step 3: Cross multiply
    435,794x = 933,796 × 933,796
  4. Step 4: Simplify right side
    435,794x = 871,974,969,616
  5. Step 5: Solve for x
    x = 871,974,969,616/435,794
  6. Step 6: Final answer
    x = 2,000,887.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.