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Finding the Third Proportional to 393,142 and 842,372

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Solution

The third proportional to 393,142 and 842,372 is: 1,804,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,142 : 842,372 = 842,372 : x
  2. Step 2: Convert to fraction form
    393,142/842,372 = 842,372/x
  3. Step 3: Cross multiply
    393,142x = 842,372 × 842,372
  4. Step 4: Simplify right side
    393,142x = 709,590,586,384
  5. Step 5: Solve for x
    x = 709,590,586,384/393,142
  6. Step 6: Final answer
    x = 1,804,921.85

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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.