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Finding the Third Proportional to 789,833 and 1,705,519.50

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Solution

The third proportional to 789,833 and 1,705,519.50 is: 3,682,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,833 : 1,705,519.50 = 1,705,519.50 : x
  2. Step 2: Convert to fraction form
    789,833/1,705,519.50 = 1,705,519.50/x
  3. Step 3: Cross multiply
    789,833x = 1,705,519.50 × 1,705,519.50
  4. Step 4: Simplify right side
    789,833x = 2,908,796,764,880.25
  5. Step 5: Solve for x
    x = 2,908,796,764,880.25/789,833
  6. Step 6: Final answer
    x = 3,682,799.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.