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Finding the Third Proportional to 384,770 and 843,340

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Solution

The third proportional to 384,770 and 843,340 is: 1,848,435.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,770 : 843,340 = 843,340 : x
  2. Step 2: Convert to fraction form
    384,770/843,340 = 843,340/x
  3. Step 3: Cross multiply
    384,770x = 843,340 × 843,340
  4. Step 4: Simplify right side
    384,770x = 711,222,355,600
  5. Step 5: Solve for x
    x = 711,222,355,600/384,770
  6. Step 6: Final answer
    x = 1,848,435.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.