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Finding the Third Proportional to 857,054 and 1,882,232

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Solution

The third proportional to 857,054 and 1,882,232 is: 4,133,692.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,054 : 1,882,232 = 1,882,232 : x
  2. Step 2: Convert to fraction form
    857,054/1,882,232 = 1,882,232/x
  3. Step 3: Cross multiply
    857,054x = 1,882,232 × 1,882,232
  4. Step 4: Simplify right side
    857,054x = 3,542,797,301,824
  5. Step 5: Solve for x
    x = 3,542,797,301,824/857,054
  6. Step 6: Final answer
    x = 4,133,692.04

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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.