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Finding the Third Proportional to 393,032 and 842,134

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Solution

The third proportional to 393,032 and 842,134 is: 1,804,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,032 : 842,134 = 842,134 : x
  2. Step 2: Convert to fraction form
    393,032/842,134 = 842,134/x
  3. Step 3: Cross multiply
    393,032x = 842,134 × 842,134
  4. Step 4: Simplify right side
    393,032x = 709,189,673,956
  5. Step 5: Solve for x
    x = 709,189,673,956/393,032
  6. Step 6: Final answer
    x = 1,804,406.95

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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.