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Finding the Third Proportional to 433,431 and 941,949

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Solution

The third proportional to 433,431 and 941,949 is: 2,047,079.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,431 : 941,949 = 941,949 : x
  2. Step 2: Convert to fraction form
    433,431/941,949 = 941,949/x
  3. Step 3: Cross multiply
    433,431x = 941,949 × 941,949
  4. Step 4: Simplify right side
    433,431x = 887,267,918,601
  5. Step 5: Solve for x
    x = 887,267,918,601/433,431
  6. Step 6: Final answer
    x = 2,047,079.97

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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.