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Finding the Third Proportional to 852,159 and 1,856,847

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Solution

The third proportional to 852,159 and 1,856,847 is: 4,046,053.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,159 : 1,856,847 = 1,856,847 : x
  2. Step 2: Convert to fraction form
    852,159/1,856,847 = 1,856,847/x
  3. Step 3: Cross multiply
    852,159x = 1,856,847 × 1,856,847
  4. Step 4: Simplify right side
    852,159x = 3,447,880,781,409
  5. Step 5: Solve for x
    x = 3,447,880,781,409/852,159
  6. Step 6: Final answer
    x = 4,046,053.36

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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.