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Finding the Third Proportional to 1,362,912.75 and 2,973,383.44

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Solution

The third proportional to 1,362,912.75 and 2,973,383.44 is: 6,486,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362,912.75 : 2,973,383.44 = 2,973,383.44 : x
  2. Step 2: Convert to fraction form
    1,362,912.75/2,973,383.44 = 2,973,383.44/x
  3. Step 3: Cross multiply
    1,362,912.75x = 2,973,383.44 × 2,973,383.44
  4. Step 4: Simplify right side
    1,362,912.75x = 8,841,009,066,399.32
  5. Step 5: Solve for x
    x = 8,841,009,066,399.32/1,362,912.75
  6. Step 6: Final answer
    x = 6,486,848.90

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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.