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Finding the Third Proportional to 831,098 and 1,819,838

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Solution

The third proportional to 831,098 and 1,819,838 is: 3,984,861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,098 : 1,819,838 = 1,819,838 : x
  2. Step 2: Convert to fraction form
    831,098/1,819,838 = 1,819,838/x
  3. Step 3: Cross multiply
    831,098x = 1,819,838 × 1,819,838
  4. Step 4: Simplify right side
    831,098x = 3,311,810,346,244
  5. Step 5: Solve for x
    x = 3,311,810,346,244/831,098
  6. Step 6: Final answer
    x = 3,984,861.41

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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.