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Finding the Third Proportional to 433,782 and 939,969

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Solution

The third proportional to 433,782 and 939,969 is: 2,036,833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,782 : 939,969 = 939,969 : x
  2. Step 2: Convert to fraction form
    433,782/939,969 = 939,969/x
  3. Step 3: Cross multiply
    433,782x = 939,969 × 939,969
  4. Step 4: Simplify right side
    433,782x = 883,541,720,961
  5. Step 5: Solve for x
    x = 883,541,720,961/433,782
  6. Step 6: Final answer
    x = 2,036,833.53

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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.