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Finding the Third Proportional to 855,742 and 1,832,930

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Solution

The third proportional to 855,742 and 1,832,930 is: 3,925,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,742 : 1,832,930 = 1,832,930 : x
  2. Step 2: Convert to fraction form
    855,742/1,832,930 = 1,832,930/x
  3. Step 3: Cross multiply
    855,742x = 1,832,930 × 1,832,930
  4. Step 4: Simplify right side
    855,742x = 3,359,632,384,900
  5. Step 5: Solve for x
    x = 3,359,632,384,900/855,742
  6. Step 6: Final answer
    x = 3,925,987.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.