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Finding the Third Proportional to 390,242 and 851,206

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Solution

The third proportional to 390,242 and 851,206 is: 1,856,672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,242 : 851,206 = 851,206 : x
  2. Step 2: Convert to fraction form
    390,242/851,206 = 851,206/x
  3. Step 3: Cross multiply
    390,242x = 851,206 × 851,206
  4. Step 4: Simplify right side
    390,242x = 724,551,654,436
  5. Step 5: Solve for x
    x = 724,551,654,436/390,242
  6. Step 6: Final answer
    x = 1,856,672.67

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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.