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Finding the Third Proportional to 855,214.50 and 1,846,023

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Solution

The third proportional to 855,214.50 and 1,846,023 is: 3,984,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,214.50 : 1,846,023 = 1,846,023 : x
  2. Step 2: Convert to fraction form
    855,214.50/1,846,023 = 1,846,023/x
  3. Step 3: Cross multiply
    855,214.50x = 1,846,023 × 1,846,023
  4. Step 4: Simplify right side
    855,214.50x = 3,407,800,916,529
  5. Step 5: Solve for x
    x = 3,407,800,916,529/855,214.50
  6. Step 6: Final answer
    x = 3,984,732.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.