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Finding the Third Proportional to 393,034 and 842,147

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Solution

The third proportional to 393,034 and 842,147 is: 1,804,453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,034 : 842,147 = 842,147 : x
  2. Step 2: Convert to fraction form
    393,034/842,147 = 842,147/x
  3. Step 3: Cross multiply
    393,034x = 842,147 × 842,147
  4. Step 4: Simplify right side
    393,034x = 709,211,569,609
  5. Step 5: Solve for x
    x = 709,211,569,609/393,034
  6. Step 6: Final answer
    x = 1,804,453.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.