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Finding the Third Proportional to 852,179.50 and 1,849,214

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Solution

The third proportional to 852,179.50 and 1,849,214 is: 4,012,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,179.50 : 1,849,214 = 1,849,214 : x
  2. Step 2: Convert to fraction form
    852,179.50/1,849,214 = 1,849,214/x
  3. Step 3: Cross multiply
    852,179.50x = 1,849,214 × 1,849,214
  4. Step 4: Simplify right side
    852,179.50x = 3,419,592,417,796
  5. Step 5: Solve for x
    x = 3,419,592,417,796/852,179.50
  6. Step 6: Final answer
    x = 4,012,760.71

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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.