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Finding the Third Proportional to 693,076.50 and 1,396,455.19

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Solution

The third proportional to 693,076.50 and 1,396,455.19 is: 2,813,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,076.50 : 1,396,455.19 = 1,396,455.19 : x
  2. Step 2: Convert to fraction form
    693,076.50/1,396,455.19 = 1,396,455.19/x
  3. Step 3: Cross multiply
    693,076.50x = 1,396,455.19 × 1,396,455.19
  4. Step 4: Simplify right side
    693,076.50x = 1,950,087,090,695.66
  5. Step 5: Solve for x
    x = 1,950,087,090,695.66/693,076.50
  6. Step 6: Final answer
    x = 2,813,667.89

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.