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Finding the Third Proportional to 1,171,399.50 and 1,769,580

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Solution

The third proportional to 1,171,399.50 and 1,769,580 is: 2,673,224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,399.50 : 1,769,580 = 1,769,580 : x
  2. Step 2: Convert to fraction form
    1,171,399.50/1,769,580 = 1,769,580/x
  3. Step 3: Cross multiply
    1,171,399.50x = 1,769,580 × 1,769,580
  4. Step 4: Simplify right side
    1,171,399.50x = 3,131,413,376,400
  5. Step 5: Solve for x
    x = 3,131,413,376,400/1,171,399.50
  6. Step 6: Final answer
    x = 2,673,224.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.