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Finding the Third Proportional to 390,206 and 851,134

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Solution

The third proportional to 390,206 and 851,134 is: 1,856,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,206 : 851,134 = 851,134 : x
  2. Step 2: Convert to fraction form
    390,206/851,134 = 851,134/x
  3. Step 3: Cross multiply
    390,206x = 851,134 × 851,134
  4. Step 4: Simplify right side
    390,206x = 724,429,085,956
  5. Step 5: Solve for x
    x = 724,429,085,956/390,206
  6. Step 6: Final answer
    x = 1,856,529.85

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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.