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Finding the Third Proportional to 384,673 and 840,151

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Solution

The third proportional to 384,673 and 840,151 is: 1,834,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,673 : 840,151 = 840,151 : x
  2. Step 2: Convert to fraction form
    384,673/840,151 = 840,151/x
  3. Step 3: Cross multiply
    384,673x = 840,151 × 840,151
  4. Step 4: Simplify right side
    384,673x = 705,853,702,801
  5. Step 5: Solve for x
    x = 705,853,702,801/384,673
  6. Step 6: Final answer
    x = 1,834,944.75

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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.