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Finding the Third Proportional to 831,084.94 and 1,819,809.75

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Solution

The third proportional to 831,084.94 and 1,819,809.75 is: 3,984,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,084.94 : 1,819,809.75 = 1,819,809.75 : x
  2. Step 2: Convert to fraction form
    831,084.94/1,819,809.75 = 1,819,809.75/x
  3. Step 3: Cross multiply
    831,084.94x = 1,819,809.75 × 1,819,809.75
  4. Step 4: Simplify right side
    831,084.94x = 3,311,707,526,195.06
  5. Step 5: Solve for x
    x = 3,311,707,526,195.06/831,084.94
  6. Step 6: Final answer
    x = 3,984,800.32

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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.