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Finding the Third Proportional to 857,912 and 1,883,872

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Solution

The third proportional to 857,912 and 1,883,872 is: 4,136,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,912 : 1,883,872 = 1,883,872 : x
  2. Step 2: Convert to fraction form
    857,912/1,883,872 = 1,883,872/x
  3. Step 3: Cross multiply
    857,912x = 1,883,872 × 1,883,872
  4. Step 4: Simplify right side
    857,912x = 3,548,973,712,384
  5. Step 5: Solve for x
    x = 3,548,973,712,384/857,912
  6. Step 6: Final answer
    x = 4,136,757.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.