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Finding the Third Proportional to 796,069.50 and 1,665,950.25

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Solution

The third proportional to 796,069.50 and 1,665,950.25 is: 3,486,366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,069.50 : 1,665,950.25 = 1,665,950.25 : x
  2. Step 2: Convert to fraction form
    796,069.50/1,665,950.25 = 1,665,950.25/x
  3. Step 3: Cross multiply
    796,069.50x = 1,665,950.25 × 1,665,950.25
  4. Step 4: Simplify right side
    796,069.50x = 2,775,390,235,475.06
  5. Step 5: Solve for x
    x = 2,775,390,235,475.06/796,069.50
  6. Step 6: Final answer
    x = 3,486,366.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.