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Finding the Third Proportional to 867,534.75 and 1,840,043.25

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Solution

The third proportional to 867,534.75 and 1,840,043.25 is: 3,902,736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,534.75 : 1,840,043.25 = 1,840,043.25 : x
  2. Step 2: Convert to fraction form
    867,534.75/1,840,043.25 = 1,840,043.25/x
  3. Step 3: Cross multiply
    867,534.75x = 1,840,043.25 × 1,840,043.25
  4. Step 4: Simplify right side
    867,534.75x = 3,385,759,161,870.56
  5. Step 5: Solve for x
    x = 3,385,759,161,870.56/867,534.75
  6. Step 6: Final answer
    x = 3,902,736.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.