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Finding the Third Proportional to 852,257 and 1,893,697

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Solution

The third proportional to 852,257 and 1,893,697 is: 4,207,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,257 : 1,893,697 = 1,893,697 : x
  2. Step 2: Convert to fraction form
    852,257/1,893,697 = 1,893,697/x
  3. Step 3: Cross multiply
    852,257x = 1,893,697 × 1,893,697
  4. Step 4: Simplify right side
    852,257x = 3,586,088,327,809
  5. Step 5: Solve for x
    x = 3,586,088,327,809/852,257
  6. Step 6: Final answer
    x = 4,207,754.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.