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Finding the Third Proportional to 778,383 and 1,693,082.25

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Solution

The third proportional to 778,383 and 1,693,082.25 is: 3,682,669.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,383 : 1,693,082.25 = 1,693,082.25 : x
  2. Step 2: Convert to fraction form
    778,383/1,693,082.25 = 1,693,082.25/x
  3. Step 3: Cross multiply
    778,383x = 1,693,082.25 × 1,693,082.25
  4. Step 4: Simplify right side
    778,383x = 2,866,527,505,265.06
  5. Step 5: Solve for x
    x = 2,866,527,505,265.06/778,383
  6. Step 6: Final answer
    x = 3,682,669.72

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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.