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Finding the Third Proportional to 393,027 and 842,133

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Solution

The third proportional to 393,027 and 842,133 is: 1,804,425.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,027 : 842,133 = 842,133 : x
  2. Step 2: Convert to fraction form
    393,027/842,133 = 842,133/x
  3. Step 3: Cross multiply
    393,027x = 842,133 × 842,133
  4. Step 4: Simplify right side
    393,027x = 709,187,989,689
  5. Step 5: Solve for x
    x = 709,187,989,689/393,027
  6. Step 6: Final answer
    x = 1,804,425.62

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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.