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Finding the Third Proportional to 852,165 and 1,856,859

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Solution

The third proportional to 852,165 and 1,856,859 is: 4,046,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,165 : 1,856,859 = 1,856,859 : x
  2. Step 2: Convert to fraction form
    852,165/1,856,859 = 1,856,859/x
  3. Step 3: Cross multiply
    852,165x = 1,856,859 × 1,856,859
  4. Step 4: Simplify right side
    852,165x = 3,447,925,345,881
  5. Step 5: Solve for x
    x = 3,447,925,345,881/852,165
  6. Step 6: Final answer
    x = 4,046,077.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.