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Finding the Third Proportional to 419,112 and 857,592

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Solution

The third proportional to 419,112 and 857,592 is: 1,754,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,112 : 857,592 = 857,592 : x
  2. Step 2: Convert to fraction form
    419,112/857,592 = 857,592/x
  3. Step 3: Cross multiply
    419,112x = 857,592 × 857,592
  4. Step 4: Simplify right side
    419,112x = 735,464,038,464
  5. Step 5: Solve for x
    x = 735,464,038,464/419,112
  6. Step 6: Final answer
    x = 1,754,815.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.