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Finding the Third Proportional to 855,184 and 1,859,216

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Solution

The third proportional to 855,184 and 1,859,216 is: 4,042,035.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,184 : 1,859,216 = 1,859,216 : x
  2. Step 2: Convert to fraction form
    855,184/1,859,216 = 1,859,216/x
  3. Step 3: Cross multiply
    855,184x = 1,859,216 × 1,859,216
  4. Step 4: Simplify right side
    855,184x = 3,456,684,134,656
  5. Step 5: Solve for x
    x = 3,456,684,134,656/855,184
  6. Step 6: Final answer
    x = 4,042,035.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.