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Finding the Third Proportional to 825,840 and 1,206,882

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Solution

The third proportional to 825,840 and 1,206,882 is: 1,763,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,840 : 1,206,882 = 1,206,882 : x
  2. Step 2: Convert to fraction form
    825,840/1,206,882 = 1,206,882/x
  3. Step 3: Cross multiply
    825,840x = 1,206,882 × 1,206,882
  4. Step 4: Simplify right side
    825,840x = 1,456,564,161,924
  5. Step 5: Solve for x
    x = 1,456,564,161,924/825,840
  6. Step 6: Final answer
    x = 1,763,736.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.