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Finding the Third Proportional to 852,305 and 1,420,339

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Solution

The third proportional to 852,305 and 1,420,339 is: 2,366,949.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,305 : 1,420,339 = 1,420,339 : x
  2. Step 2: Convert to fraction form
    852,305/1,420,339 = 1,420,339/x
  3. Step 3: Cross multiply
    852,305x = 1,420,339 × 1,420,339
  4. Step 4: Simplify right side
    852,305x = 2,017,362,874,921
  5. Step 5: Solve for x
    x = 2,017,362,874,921/852,305
  6. Step 6: Final answer
    x = 2,366,949.48

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.