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Finding the Third Proportional to 1,191,384 and 2,592,912

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Solution

The third proportional to 1,191,384 and 2,592,912 is: 5,643,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,384 : 2,592,912 = 2,592,912 : x
  2. Step 2: Convert to fraction form
    1,191,384/2,592,912 = 2,592,912/x
  3. Step 3: Cross multiply
    1,191,384x = 2,592,912 × 2,592,912
  4. Step 4: Simplify right side
    1,191,384x = 6,723,192,639,744
  5. Step 5: Solve for x
    x = 6,723,192,639,744/1,191,384
  6. Step 6: Final answer
    x = 5,643,178.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.