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Finding the Third Proportional to 380,646 and 826,883

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Solution

The third proportional to 380,646 and 826,883 is: 1,796,250.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,646 : 826,883 = 826,883 : x
  2. Step 2: Convert to fraction form
    380,646/826,883 = 826,883/x
  3. Step 3: Cross multiply
    380,646x = 826,883 × 826,883
  4. Step 4: Simplify right side
    380,646x = 683,735,495,689
  5. Step 5: Solve for x
    x = 683,735,495,689/380,646
  6. Step 6: Final answer
    x = 1,796,250.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.