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Finding the Third Proportional to 665,736.47 and 1,456,023.73

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Solution

The third proportional to 665,736.47 and 1,456,023.73 is: 3,184,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,736.47 : 1,456,023.73 = 1,456,023.73 : x
  2. Step 2: Convert to fraction form
    665,736.47/1,456,023.73 = 1,456,023.73/x
  3. Step 3: Cross multiply
    665,736.47x = 1,456,023.73 × 1,456,023.73
  4. Step 4: Simplify right side
    665,736.47x = 2,120,005,092,312.95
  5. Step 5: Solve for x
    x = 2,120,005,092,312.95/665,736.47
  6. Step 6: Final answer
    x = 3,184,450.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.