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Finding the Third Proportional to 796,107 and 1,170,670.50

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Solution

The third proportional to 796,107 and 1,170,670.50 is: 1,721,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,107 : 1,170,670.50 = 1,170,670.50 : x
  2. Step 2: Convert to fraction form
    796,107/1,170,670.50 = 1,170,670.50/x
  3. Step 3: Cross multiply
    796,107x = 1,170,670.50 × 1,170,670.50
  4. Step 4: Simplify right side
    796,107x = 1,370,469,419,570.25
  5. Step 5: Solve for x
    x = 1,370,469,419,570.25/796,107
  6. Step 6: Final answer
    x = 1,721,463.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.